All India JEE Group
If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all numbers greater than 10,000 is equal to _______. (in integers)Correct answer is '96'. Can you explain this answer?
If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all numbers greater than 10,000 is equal to _______. (in integers)
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Soumya Dasgupta answered • 6 hours ago |
Understanding the Problem
To find the number of integers greater than 10,000 using the digits 0, 2, 4, 6, and 8 without repetition, we need to consider five-digit numbers specifically.
Conditions for the Number
1. A five-digit number must start with a non-zero digit.
2. The digits we can use are 0, 2, 4, 6, and 8.
Choosing the First Digit
- The fi... more
To find the number of integers greater than 10,000 using the digits 0, 2, 4, 6, and 8 without repetition, we need to consider five-digit numbers specifically.
Conditions for the Number
1. A five-digit number must start with a non-zero digit.
2. The digits we can use are 0, 2, 4, 6, and 8.
Choosing the First Digit
- The fi... more
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Raghavendra Kapoor
asked a question
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A uniformly charged ring of radius R has a linear charge density λ. What is the electric field at a point on the axis of the ring at a distance x from the center?- a)E = (kλx)/(R²)
- b)E = (kλx)/(R³)
- c)E = (kλ)/(2πx)
- d)E = (kλ)/(4πx²)
Correct answer is option 'D'. Can you explain this answer?
A uniformly charged ring of radius R has a linear charge density λ. What is the electric field at a point on the axis of the ring at a distance x from the center?
a)
E = (kλx)/(R²)
b)
E = (kλx)/(R³)
c)
E = (kλ)/(2πx)
d)
E = (kλ)/(4πx²)
A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The value of 'x', to the nearest integer, is ______.
Correct answer is '600'. Can you explain this answer?
A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The value of 'x', to the nearest integer, is ______.
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Soumya Dasgupta answered • 6 hours ago |
Understanding Fringe Width in Double-Slit Experiment
The fringe width in a double-slit experiment can be calculated using the formula:
Fringe Width (β) = (λ * D) / d
where:
- λ = wavelength of light
- D = distance from slits to screen
- d = distance between the slits
Given Values
- Fringe width (β) = 6 mm = 6 x 10^-3 m
- Distance between s... more
The fringe width in a double-slit experiment can be calculated using the formula:
Fringe Width (β) = (λ * D) / d
where:
- λ = wavelength of light
- D = distance from slits to screen
- d = distance between the slits
Given Values
- Fringe width (β) = 6 mm = 6 x 10^-3 m
- Distance between s... more
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Sahil Saha
asked a question
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Two discs A and B are mounted on a vertical axle. Suppose the discs have moment of inertia as I and 2 I respectively about an axis. Disc A is given angular velocity ω, using the potential energy of a spring compressed by x1. Similarly the potential energy of a spring compressed by x2 gives an angular velocity of 2ω to Disc B. Considering that both the discs rotate in same direction .Find the ratio x1/ x2 :- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
Two discs A and B are mounted on a vertical axle. Suppose the discs have moment of inertia as I and 2 I respectively about an axis. Disc A is given angular velocity ω, using the potential energy of a spring compressed by x1. Similarly the potential energy of a spring compressed by x2 gives an angular velocity of 2ω to Disc B. Considering that both the discs rotate in same direction .Find the ratio x1/ x2 :
a)
b)
c)
d)
The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are- a)(2, –1)
- b)(–2, 1)
- c)(1, 1)
- d)(1, 2)
Correct answer is option 'C'. Can you explain this answer?
The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are
a)
(2, –1)
b)
(–2, 1)
c)
(1, 1)
d)
(1, 2)
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Soumya Dasgupta answered • 6 hours ago |
Understanding the Problem
To find the foot of the perpendicular from the point (0, 0) to the line x + y = 2, we need to determine where this perpendicular intersects the line.
Equation of the Line
The line can be rewritten in slope-intercept form:
- y = -x + 2
This indicates that the slope of the line is -1.
Slope of the Perpendicular Line
Th... more
To find the foot of the perpendicular from the point (0, 0) to the line x + y = 2, we need to determine where this perpendicular intersects the line.
Equation of the Line
The line can be rewritten in slope-intercept form:
- y = -x + 2
This indicates that the slope of the line is -1.
Slope of the Perpendicular Line
Th... more
Let n be an odd natural number. If x= [√2 +1]^n then (1-{x}^2) /{x} (where {x} denotes fractional part function). A. Irrational B. Rational but not an integer C. Even integer D. Odd integer.?
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Soumya Dasgupta answered • 6 hours ago |
Understanding the Expression
Let n be an odd natural number. We define x as follows:
- x = (√2 + 1)^n
This expression can be simplified as it relates to the properties of irrational and rational numbers.
Analyzing the Fractional Part Function
The fractional part function, denoted as {x}, is defined as:
- {x} = x - ⌊x⌋
Where ⌊x⌋ is the greatest integ... more
Let n be an odd natural number. We define x as follows:
- x = (√2 + 1)^n
This expression can be simplified as it relates to the properties of irrational and rational numbers.
Analyzing the Fractional Part Function
The fractional part function, denoted as {x}, is defined as:
- {x} = x - ⌊x⌋
Where ⌊x⌋ is the greatest integ... more
does not exist when
The curve represented by x = a (coshθ + sinhθ) , y = b(coshθ − sinhθ) is- a)A hyperbola
- b)An ellipse
- c)A parabola
- d)A circle
Correct answer is option 'A'. Can you explain this answer?
The curve represented by x = a (coshθ + sinhθ) , y = b(coshθ − sinhθ) is
a)
A hyperbola
b)
An ellipse
c)
A parabola
d)
A circle
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Mansi Sarkar answered • 10 hours ago |
Understanding the Curve
The given parameterization of the curve is:
- x = a (coshθ + sinhθ)
- y = b (coshθ - sinhθ)
To determine the nature of the curve, we will manipulate these equations.
Transforming the Equations
1. Expressing Hyperbolic Functions:
- Recall the definitions:
- coshθ = (e^θ + e^(-θ)) / 2
- sinhθ = (e^θ - e^(-θ... more
The given parameterization of the curve is:
- x = a (coshθ + sinhθ)
- y = b (coshθ - sinhθ)
To determine the nature of the curve, we will manipulate these equations.
Transforming the Equations
1. Expressing Hyperbolic Functions:
- Recall the definitions:
- coshθ = (e^θ + e^(-θ)) / 2
- sinhθ = (e^θ - e^(-θ... more
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Sabiha Parveen
asked a question
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The tetrachloro complexes of Ni(ll) and Pd(ll) respectively are (atomic number of Ni and Pd are 28 and 46 respectively).- a)diamagnetic and diamagnetic
- b)diamagnetic and paramagnetic
- c)paramagnetic and diamagnetic
- d)paramagnetic and paramagnetic
Correct answer is option 'C'. Can you explain this answer?
The tetrachloro complexes of Ni(ll) and Pd(ll) respectively are (atomic number of Ni and Pd are 28 and 46 respectively).
a)
diamagnetic and diamagnetic
b)
diamagnetic and paramagnetic
c)
paramagnetic and diamagnetic
d)
paramagnetic and paramagnetic
If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh 3/4 W. Radius of the Earth is 6400 km and g=10 m/s2.- a)1.1×10−3 rad/s
- b)0.83×10−3 rad/s
- c)0.63×10−3 rad/s
- d)0.28×10−3 rad/s
Correct answer is option 'B'. Can you explain this answer?
If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh 3/4 W. Radius of the Earth is 6400 km and g=10 m/s2.
a)
1.1×10−3 rad/s
b)
0.83×10−3 rad/s
c)
0.63×10−3 rad/s
d)
0.28×10−3 rad/s
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Arjun Sen answered • 15 hours ago |
Understanding the Problem
To find the required rotational speed of the Earth such that a person at the equator weighs 3/4 of their original weight (W), we start with the known parameters:
- Weight at rest (no rotation): W = mg
- At the equator: W' = 3/4W
Weight Calculation
The effective weight when the Earth is rotating can be expressed as:
- W' = mg - m... more
To find the required rotational speed of the Earth such that a person at the equator weighs 3/4 of their original weight (W), we start with the known parameters:
- Weight at rest (no rotation): W = mg
- At the equator: W' = 3/4W
Weight Calculation
The effective weight when the Earth is rotating can be expressed as:
- W' = mg - m... more
In how many ways can a cricket team be selected out of 15 players if a particular player has to be included?- a)C(14,11)
- b)C(14,10)
- c)C(15,11)
- d)C(15,10)
Correct answer is option 'A'. Can you explain this answer?
In how many ways can a cricket team be selected out of 15 players if a particular player has to be included?
a)
C(14,11)
b)
C(14,10)
c)
C(15,11)
d)
C(15,10)
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Lohit Matani answered • 16 hours ago |
11 players can be selected out of 16 in 16C11 ways = 16!/(11! 5!) = 4368 ways. Now, If two particular players is to be included and one particular player is to be rejected, then we have to select 9 more players out of 13 in 13C9 ways.
= 13!/(9! 4!) = 715 ways.
= 13!/(9! 4!) = 715 ways.
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Nageshgokul Knt
asked a question
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A particle is acted upon by a force of constant magnitude. Which is always perpendicular to the velocity of the particle ? The motion of the particle takes place in a plane. It follow that that- a)its velocity is constant
- b)its acceleration is constant
- c)its kinetic energy is constant
- d)it moves in a circular path
Correct answer is option 'C,D'. Can you explain this answer?
A particle is acted upon by a force of constant magnitude. Which is always perpendicular to the velocity of the particle ? The motion of the particle takes place in a plane. It follow that that
a)
its velocity is constant
b)
its acceleration is constant
c)
its kinetic energy is constant
d)
it moves in a circular path
The coefficient of x3 in the binomial expansion of 
- a)792m5
- b)942m7
- c)330m4
- d)792m6
Correct answer is option 'C'. Can you explain this answer?
The coefficient of x3 in the binomial expansion of
a)
792m5
b)
942m7
c)
330m4
d)
792m6
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Knowledge Hub answered • 16 hours ago |
T(r+1) = 11Cr x(11-2r) (m/r)r (-1)r
= 11Cr x(11-2r) mr (-1)r
Coefficient of x3 = 11 - 2r = 3
8 = 2r
r = 4
T5 = 11C4 x3 m4 (-1)
Coefficient of x3 = 11C4 m4
= 330 m4
= 11Cr x(11-2r) mr (-1)r
Coefficient of x3 = 11 - 2r = 3
8 = 2r
r = 4
T5 = 11C4 x3 m4 (-1)
Coefficient of x3 = 11C4 m4
= 330 m4
0.2 + 0.22 + 0.222 + ……. to n terms =- a)2/9
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
0.2 + 0.22 + 0.222 + ……. to n terms =
a)
2/9
b)
c)
d)
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Trisha Vashisht answered • 16 hours ago |
0.2 + 0.22 + 0.222 + 0.2222 + ….
2(0.1 + 0.11 + 0.111 + 0.1111 + ….)
2/9 (0.9 + 0.99 + 0.999 + 0.9999 + ….)
2/9 (( 1 - 0.1 ) + ( 1 - 0.01 ) + ( 1 - 0.001 ) + ( 1 - 0.0001 ) + …. )
2/9 (1 - 0.1 + 1 - 0.01 + 1 - 0.001 + 1 - 0.0001 + ….)
2/9 ((1 + 1 + 1 + 1 + ….) - ( 0.1 + 0.01 + 0.001 + 0.0001 + ….))
2/9 (n - ( 0.1 + 0.01 + 0.001 + 0.0001 + ….))
2/9 (n - (( 0.1 ( 1 - 0.1n)/( 1 - 0.1))))
2/9 (n - (( 0.1 / 0.9)( 1 - 0.1n)))
2/9 (n - (1/9)(1 - 0.1n))
2(0.1 + 0.11 + 0.111 + 0.1111 + ….)
2/9 (0.9 + 0.99 + 0.999 + 0.9999 + ….)
2/9 (( 1 - 0.1 ) + ( 1 - 0.01 ) + ( 1 - 0.001 ) + ( 1 - 0.0001 ) + …. )
2/9 (1 - 0.1 + 1 - 0.01 + 1 - 0.001 + 1 - 0.0001 + ….)
2/9 ((1 + 1 + 1 + 1 + ….) - ( 0.1 + 0.01 + 0.001 + 0.0001 + ….))
2/9 (n - ( 0.1 + 0.01 + 0.001 + 0.0001 + ….))
2/9 (n - (( 0.1 ( 1 - 0.1n)/( 1 - 0.1))))
2/9 (n - (( 0.1 / 0.9)( 1 - 0.1n)))
2/9 (n - (1/9)(1 - 0.1n))
Find sin 150°- a)-1/2
- b)1/2
- c)√3/2
- d)-√3/2
Correct answer is option 'B'. Can you explain this answer?
Find sin 150°
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
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Imk Pathsala answered • 16 hours ago |
As we know that : sin(180o−x) = sin(x)
Plug in x = 30 to get
sin(180o−30°) = sin(30°)
⇒ 1/2
sin(90+θ) = cosθ
sin (90+60)=cos60=1/2
Plug in x = 30 to get
sin(180o−30°) = sin(30°)
⇒ 1/2
sin(90+θ) = cosθ
sin (90+60)=cos60=1/2
The three numbers between 1 and 256 such that the sequence is in GP are- a)4,16,64
- b)2,8,32
- c)8,16,32
- d)8,16,64
Correct answer is option 'A'. Can you explain this answer?
The three numbers between 1 and 256 such that the sequence is in GP are
a)
4,16,64
b)
2,8,32
c)
8,16,32
d)
8,16,64
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Infinity Academy answered • 16 hours ago |
nth G.M. between a and b is
Gn = arn
Where common ratio is r = (b/a)(1/(n+1))
So, to insert 3 geometric means between 1 and 256
r = (b/a)(1/(n+1))
r = (256/(1)(1/(3+1))
r = (256)1/4
r = (4)(4)1/4
r = 4
Gn = 1 * (4)n
G1 = 1 * (4)1 = 4
G2 = 1 * (4)2 = 16
G3 = 1 * (4)3 = 64
The terms are 4, 16, 64
Gn = arn
Where common ratio is r = (b/a)(1/(n+1))
So, to insert 3 geometric means between 1 and 256
r = (b/a)(1/(n+1))
r = (256/(1)(1/(3+1))
r = (256)1/4
r = (4)(4)1/4
r = 4
Gn = 1 * (4)n
G1 = 1 * (4)1 = 4
G2 = 1 * (4)2 = 16
G3 = 1 * (4)3 = 64
The terms are 4, 16, 64
The coefficient of x17 in the expansion of (x- 1) (x- 2) …..(x – 18) is- a)- 171
- b)342
- c)171/2
- d)684
Correct answer is option 'A'. Can you explain this answer?
The coefficient of x17 in the expansion of (x- 1) (x- 2) …..(x – 18) is
a)
- 171
b)
342
c)
171/2
d)
684
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Infinity Academy answered • 16 hours ago |
The coefficient of x17 is given by
−1 + (−2) + (−3) + ….. (−18)
= −1 − 2 − 3….. − 18
= − (18(18+1))/2
= − 9(19)
= − 171
−1 + (−2) + (−3) + ….. (−18)
= −1 − 2 − 3….. − 18
= − (18(18+1))/2
= − 9(19)
= − 171
, then the number of solutions of 
and g (x) = 
then domain of fog is 
tan 15° =- a)√3 - 1
- b)√3 + 1
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
tan 15° =
a)
√3 - 1
b)
√3 + 1
c)
d)
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Top Rankers answered • 16 hours ago |
In any traingle The sum of 3 sides of a traingle is equal to 180°
Given
A=72°
B=48°
A+B+C=180°
72°+48°+C=180°
C=180°-120°
C=60°
Solve the following equation
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Solve the following equation
a)
b)
c)
d)
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Manish Aggarwal answered • 21 hours ago |
dy/dx = y/x - √(y²/x² - 1)
=> v + x dv/dx = v - √(v² - 1) (Let y/x = v)
=> x dv/dx = -√(v² - 1)
=> dv/√(v² - 1) = -dx/x
=> x dv/dx = -√(v² - 1)
=> dv/√(v² - 1) = -dx/x
Integrating, we get:
log|v + √(v² - 1)| = log c - log x
=> log|v + √(v² - 1)| = log|c/x|
=> (v + √(v² - 1)) = (c/x)
=> (y/x + √((y/x)² - 1)) = (c/x)
=> log|v + √(v² - 1)| = log|c/x|
=> (v + √(v² - 1)) = (c/x)
=> (y/x + √((y/x)² - 1)) = (c/x)
(y + √(y² - x²)) = c
Which of the following series of reactions correctly represents the chemical relations related to iron and its compound?- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Which of the following series of reactions correctly represents the chemical relations related to iron and its compound?
a)
b)
c)
d)
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Tarun Kaushik answered • yesterday |
Formation of Fe3O4 from Fe corresponds to the combustion of Fe and rest of the reactions correspond to the production of Fe by reduction of Fe3O4 in the blast furnace.
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Rounak Desai
asked a question
|
The figure shows three circuits with identical batteries, inductors and resistances. Rank the circuits according to the currents through the battery just after the switch is closed, greatest first
- a)i2 > i3 > i1
- b)i2 > i1 > i3
- c)i1 > i2 > i3
- d)i1 > i3 > i2
Correct answer is option 'A'. Can you explain this answer?
The figure shows three circuits with identical batteries, inductors and resistances. Rank the circuits according to the currents through the battery just after the switch is closed, greatest first
a)
i2 > i3 > i1
b)
i2 > i1 > i3
c)
i1 > i2 > i3
d)
i1 > i3 > i2
The circuit contains two diodes each with a forward resistance of 50 Ω and with infinite reverse resistance. If the battery voltage is,6 V, the current through the 120 Ω resistance is mA.
Correct answer is '20'. Can you explain this answer?
The circuit contains two diodes each with a forward resistance of 50 Ω and with infinite reverse resistance. If the battery voltage is,6 V, the current through the 120 Ω resistance is mA.
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Learners Habitat answered • yesterday |
D2 is reverse bias so current does not flow through D,.
D, is forward bias.
I = 6/300 ⇒ 0.02 A
= 20 mA
The loss of which will harm the tree most?- a) Bark
- b) Half the leaves
- c) Half the branches
- d) All the above
Correct answer is option 'A'. Can you explain this answer?
a)
Bark
b)
Half the leaves
c)
Half the branches
d)
All the above
|
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Hiral Choudhary answered • yesterday |
Importance of Bark to a Tree
The bark of a tree is vital for its overall health and survival. Here's why the loss of bark is the most detrimental compared to losing leaves or branches:
Protection
- The bark serves as a protective layer for the tree, shielding it from physical damage, pests, and diseases.
- It acts as a barrier against environmental factors such as... more
The bark of a tree is vital for its overall health and survival. Here's why the loss of bark is the most detrimental compared to losing leaves or branches:
Protection
- The bark serves as a protective layer for the tree, shielding it from physical damage, pests, and diseases.
- It acts as a barrier against environmental factors such as... more
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Hitesh Nama
asked a question
|
The minimum number of moles of solid KCl added to one liter contents of a standard silver …… silver ion electrode to convert it to standard silver …. silver chloride, electrode. [E° Ag+/Ag = 0.8V, Ksp (AgCl) = 10–10] are
Correct answer is '2'. Can you explain this answer?
The minimum number of moles of solid KCl added to one liter contents of a standard silver …… silver ion electrode to convert it to standard silver …. silver chloride, electrode. [E° Ag+/Ag = 0.8V, Ksp (AgCl) = 10–10] are
Aqueous solution of Na2S2O3 on reaction with Cl2 gives –- a)Na2S4O6
- b)NaHSO4
- c)NaCl
- d)NaOH
Correct answer is option 'B'. Can you explain this answer?
Aqueous solution of Na2S2O3 on reaction with Cl2 gives –
a)
Na2S4O6
b)
NaHSO4
c)
NaCl
d)
NaOH
|
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Hiral Choudhary answered • yesterday |
Reaction Overview
When sodium thiosulfate (Na2S2O3) reacts with chlorine gas (Cl2) in an aqueous solution, a series of redox reactions occur. Sodium thiosulfate acts as a reducing agent, while chlorine, being a strong oxidizing agent, gets reduced.
Key Products Formed
- The main products of this reaction are sodium tetrathionate (Na2S4O6) and sodium bisulfate (NaHSO4).... more
When sodium thiosulfate (Na2S2O3) reacts with chlorine gas (Cl2) in an aqueous solution, a series of redox reactions occur. Sodium thiosulfate acts as a reducing agent, while chlorine, being a strong oxidizing agent, gets reduced.
Key Products Formed
- The main products of this reaction are sodium tetrathionate (Na2S4O6) and sodium bisulfate (NaHSO4).... more
The number lock of a suitcase has 4 wheels ,3ach labelled with ten digits from 0to 9 .the locks opens with asequence of 4 digits with no repeats .what is the probability ofa a person getting right to open suitcase?
|
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Hiral Choudhary answered • yesterday |
Understanding the Lock Mechanism
The suitcase lock consists of 4 wheels, each labeled with the digits from 0 to 9. This means there are a total of 10 unique digits available for selection.
Calculating Total Combinations
Since the lock requires a sequence of 4 digits with no repeats, we can calculate the total number of possible combinations:
- The first wheel can ... more
The suitcase lock consists of 4 wheels, each labeled with the digits from 0 to 9. This means there are a total of 10 unique digits available for selection.
Calculating Total Combinations
Since the lock requires a sequence of 4 digits with no repeats, we can calculate the total number of possible combinations:
- The first wheel can ... more
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Manasa Chopra
asked a question
|
A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectively- a)t = 3 s, x = 45 m
- b)t = 4 s, x = 54 m
- c)t = 3 s, x = 54 m
- d)t = 4 s, x = 45 m
Correct answer is option 'A'. Can you explain this answer?
A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectively
a)
t = 3 s, x = 45 m
b)
t = 4 s, x = 54 m
c)
t = 3 s, x = 54 m
d)
t = 4 s, x = 45 m
In a G.P 4th term is x ^ (- k) and 6 ^ (th) term is x ^ 5 and 10 ^ 13 term is then the value of k is?
|
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Vaibhav Datta answered • yesterday |
Understanding the G.P. Terms
In a geometric progression (G.P.), the nth term can be expressed as:
- a * r^(n-1)
where:
- a = first term
- r = common ratio
- n = term number
Given that the 4th term is x^(-k) and the 6th term is x^5, we can set up the following equations using the G.P. formula.
Setting Up the Equations
- For the 4th term:... more
In a geometric progression (G.P.), the nth term can be expressed as:
- a * r^(n-1)
where:
- a = first term
- r = common ratio
- n = term number
Given that the 4th term is x^(-k) and the 6th term is x^5, we can set up the following equations using the G.P. formula.
Setting Up the Equations
- For the 4th term:
Which books I should prefer for JEE advanced physics?
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Jatin Verma answered • yesterday |
Essential Books for JEE Advanced Physics
When preparing for JEE Advanced, selecting the right books can significantly enhance your understanding and problem-solving skills in Physics. Here are some highly recommended texts:
Conceptual Clarity
- NCERT Physics:
- Excellent for building foundational concepts.
- Covers essential topics with clarity.
... more
When preparing for JEE Advanced, selecting the right books can significantly enhance your understanding and problem-solving skills in Physics. Here are some highly recommended texts:
Conceptual Clarity
- NCERT Physics:
- Excellent for building foundational concepts.
- Covers essential topics with clarity.
... more
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Sparsh Chawla
asked a question
|
A conducting ring of mass 2 kg and radius 0.5 m is placed on a smooth horizontal plane. The ring carries a current i = 4 A. A horizontal magnetic field B = 10 T is switched on at time t = 0 as shown in the figure. The initial angular acceleration of the ring will be
- a)40π rad s−2
- b)20π rad s−2
- c)5π rad s−2
- d)15π rad s−2
Correct answer is option 'A'. Can you explain this answer?
A conducting ring of mass 2 kg and radius 0.5 m is placed on a smooth horizontal plane. The ring carries a current i = 4 A. A horizontal magnetic field B = 10 T is switched on at time t = 0 as shown in the figure. The initial angular acceleration of the ring will be
a)
40π rad s−2
b)
20π rad s−2
c)
5π rad s−2
d)
15π rad s−2
Number of G.P's having 5, 9 and 11 as its three terms is equal to?
|
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Kaavya Pillai answered • yesterday |
Understanding Geometric Progression (G.P.)
In a geometric progression, the ratio between consecutive terms remains constant. Given three terms, 5, 9, and 11, we need to determine how many G.P.s can be formed using these numbers.
Forming the G.P.
1. Definition of G.P.:
A sequence of numbers is in G.P. if there exists a common ratio 'r' such that:
- S... more
In a geometric progression, the ratio between consecutive terms remains constant. Given three terms, 5, 9, and 11, we need to determine how many G.P.s can be formed using these numbers.
Forming the G.P.
1. Definition of G.P.:
A sequence of numbers is in G.P. if there exists a common ratio 'r' such that:
- S... more
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Ujwal Choudhury
asked a question
|
Figure shows the vertical cross-section of a vessel filled with a liquid of density ρ. The normal thrust per unit area on the walls of the vessel at point P, as shown will be
- a)hρg
- b)Hρg
- c)(H − h)ρg
- d)(H − h)ρg cos θ
Correct answer is option 'C'. Can you explain this answer?
Figure shows the vertical cross-section of a vessel filled with a liquid of density ρ. The normal thrust per unit area on the walls of the vessel at point P, as shown will be
a)
hρg
b)
Hρg
c)
(H − h)ρg
d)
(H − h)ρg cos θ
The probability that a student is not a swimmer Is 1/5. Then the probability that out of the five students, exactly four are swimmers, is- a)
- b)
- c)
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The probability that a student is not a swimmer Is 1/5. Then the probability that out of the five students, exactly four are swimmers, is
a)
b)
c)
d)
None of these
|
EduRev JEE answered • yesterday |
Probability that a student is not a swimmer = 1/5
So, Probability that a student is a swimmer = 1 – 1/5 = 4/5
To calculate required probability,
Probability that 4 students are swimmers and 1 is non-swimmer = (4/5) × (4/5) × (4/5)× (4/5)× (1/5)
= (4/5)4 × (1/5)
Now, there are many ways to choose which 4 of the 5 students are swimmers.
Ways to choose 4 student out of 5 = 5C4
So, required probability =
So, required probability =
A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years, respectively. What will be the time after which one third of the material remains? (Take In 3 = 1.1)- a)1110 years
- b)340 years
- c)740 years
- d)700 years
Correct answer is option 'C'. Can you explain this answer?
A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years, respectively. What will be the time after which one third of the material remains? (Take In 3 = 1.1)
a)
1110 years
b)
340 years
c)
740 years
d)
700 years
|
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Samridhi Nair answered • yesterday |
Understanding Radioactive Decay
Radioactive materials decay at a predictable rate, characterized by their half-lives. In this case, we have two particles with half-lives of 1400 years and 700 years.
Half-Life Concept
- The half-life is the time required for half of the radioactive material to decay.
- After one half-life, 50% of the original material remains.
... more
Radioactive materials decay at a predictable rate, characterized by their half-lives. In this case, we have two particles with half-lives of 1400 years and 700 years.
Half-Life Concept
- The half-life is the time required for half of the radioactive material to decay.
- After one half-life, 50% of the original material remains.
... more
Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for an n-type semiconductor, the density of electrons is 1019 m-3 and their mobility is 1.6 m2/(V.s) then the resistivity of the semiconductor (since it is an n-type semiconductor contribution of holes is ignored) is close to k × 10-1Ωm. Find the value of k.Correct answer is '4'. Can you explain this answer?
Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for an n-type semiconductor, the density of electrons is 1019 m-3 and their mobility is 1.6 m2/(V.s) then the resistivity of the semiconductor (since it is an n-type semiconductor contribution of holes is ignored) is close to k -1Ωm. Find the value of k.
× 10
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Simran Gupta answered • 2 days ago |
Understanding Mobility and Resistivity
The resistivity of a semiconductor can be derived from the electron density and mobility. For n-type semiconductors, the resistivity (ρ) is given by the formula:
ρ = 1 / (q * n * μ)
Where:
- q = charge of an electron (approximately 1.6 x 10^-19 C)
- n = density of charge carriers (electrons in this case)
- μ = mobility of ... more
The resistivity of a semiconductor can be derived from the electron density and mobility. For n-type semiconductors, the resistivity (ρ) is given by the formula:
ρ = 1 / (q * n * μ)
Where:
- q = charge of an electron (approximately 1.6 x 10^-19 C)
- n = density of charge carriers (electrons in this case)
- μ = mobility of ... more
pOH of a solution formed by mixing 60 ml of 0.2 M NaCN (aq) with 80 ml of 0.1 M HCl (aq) will be
(Given : Ka(HCN) = 5 × 10–10; log 2 = 0.3; log 5 = 0.7)- a)9
- b)7
- c)5
- d)3
Correct answer is option 'C'. Can you explain this answer?
pOH of a solution formed by mixing 60 ml of 0.2 M NaCN (aq) with 80 ml of 0.1 M HCl (aq) will be
(Given : Ka(HCN) = 5 × 10–10; log 2 = 0.3; log 5 = 0.7)
(Given : Ka(HCN) = 5 × 10–10; log 2 = 0.3; log 5 = 0.7)
a)
9
b)
7
c)
5
d)
3
|
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Simran Gupta answered • 2 days ago |
Understanding the Reaction
When mixing NaCN and HCl, a reaction occurs between the weak base (CN-) and the strong acid (HCl). The primary reaction is:
- HCl + CN- → HCN + Cl-
Calculating Moles of Reactants
- Moles of NaCN:
Volume = 60 ml = 0.060 L
Concentration = 0.2 M
Moles of NaCN = 0.060 L × 0.2 mol/L = 0.012 mol
- Moles... more
When mixing NaCN and HCl, a reaction occurs between the weak base (CN-) and the strong acid (HCl). The primary reaction is:
- HCl + CN- → HCN + Cl-
Calculating Moles of Reactants
- Moles of NaCN:
Volume = 60 ml = 0.060 L
Concentration = 0.2 M
Moles of NaCN = 0.060 L × 0.2 mol/L = 0.012 mol
- Moles... more
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Amrita Das
asked a question
|
Choose the correct statements from the followingA. Mn2O7 is an oil at room temperature
B. V2O4 reacts with acid to give 
C. CrO is a basic oxide
D. V2O5 does not react with acid Choose the correct answer from the options given below : - a)A, B and D only
- b)A and C only
- c)A, B and C only
- d)B and C only
Correct answer is option 'B'. Can you explain this answer?
Choose the correct statements from the following
A. Mn2O7 is an oil at room temperature
B. V2O4 reacts with acid to give
C. CrO is a basic oxide
D. V2O5 does not react with acid
B. V2O4 reacts with acid to give
C. CrO is a basic oxide
D. V2O5 does not react with acid
Choose the correct answer from the options given below :
a)
A, B and D only
b)
A and C only
c)
A, B and C only
d)
B and C only
The pH of a 0.01 M solution of a weak acid having degree of dissociation 12.5% is ____. (Answer up to 1 decimal place)
Correct answer is '2.9'. Can you explain this answer?
The pH of a 0.01 M solution of a weak acid having degree of dissociation 12.5% is ____. (Answer up to 1 decimal place)
|
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Simran Gupta answered • 2 days ago |
Understanding the Problem
To find the pH of a weak acid solution, we need to understand its dissociation. Given a 0.01 M solution with a degree of dissociation of 12.5%, we can calculate the concentration of hydrogen ions.
Calculating Degree of Dissociation
- Degree of dissociation (α) = 12.5% = 0.125
- For a weak acid, the dissociation can be represented as:
... more
To find the pH of a weak acid solution, we need to understand its dissociation. Given a 0.01 M solution with a degree of dissociation of 12.5%, we can calculate the concentration of hydrogen ions.
Calculating Degree of Dissociation
- Degree of dissociation (α) = 12.5% = 0.125
- For a weak acid, the dissociation can be represented as:
... more
Which of the following aldehydes forms a stable hydrate ? - a)Formaldehyde
- b)Acetaldehyde
- c)Trichlorocetaldehyde
- d)Propionaldehyde
Correct answer is option 'C'. Can you explain this answer?
Which of the following aldehydes forms a stable
hydrate ?
a)
Formaldehyde
b)
Acetaldehyde
c)
Trichlorocetaldehyde
d)
Propionaldehyde
|
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Kirti Reddy answered • 2 days ago |
Understanding Aldehydes and Their Hydrates
Aldehydes can react with water to form hydrates. However, the stability of these hydrates depends on the structure of the aldehyde and the presence of substituents.
Factors Influencing Hydrate Stability
- Electronic Effects: Electron-withdrawing groups enhance the stability of hydrates.
- Steric Hindrance:... more
Aldehydes can react with water to form hydrates. However, the stability of these hydrates depends on the structure of the aldehyde and the presence of substituents.
Factors Influencing Hydrate Stability
- Electronic Effects: Electron-withdrawing groups enhance the stability of hydrates.
- Steric Hindrance:... more
C_6H_5–CH=N–OH
Tell me weather this compound will show geometrical isomerism or not?
|
Meghana Sen answered • 2 days ago |
Geometrical Isomerism in C_6H_5–CH=N–OH
Geometrical isomerism, also known as cis-trans isomerism, occurs in compounds with restricted rotation around a double bond. In the case of C_6H_5–CH=N–OH, we need to analyze the structure to determine if geometrical isomerism is possible.
Structure Analysis
- The compound C_6H_5–CH=N–OH contains a double bond between the carbon ... more
Geometrical isomerism, also known as cis-trans isomerism, occurs in compounds with restricted rotation around a double bond. In the case of C_6H_5–CH=N–OH, we need to analyze the structure to determine if geometrical isomerism is possible.
Structure Analysis
- The compound C_6H_5–CH=N–OH contains a double bond between the carbon ... more
|
Mary Spandana
asked a question
|
Match the compounds given in column I with the TUPAC names given in column II and mark the appropriate choice.
- a)(A) → (ii), (B) → (i), (C) → (iii), (D) → (iv)
- b)(A) → (iv), (B) → (ii), (C) → (i), (D) → (iii)
- c)(A) → (i), (B) → (iii). (C) → (ii), (D) → (iv)
- d)(A) → (iii), (B) → (iv), (C) → (ii), (D) → (i)
Correct answer is option 'D'. Can you explain this answer?
Match the compounds given in column I with the TUPAC names given in column II and mark the appropriate choice.
a)
(A) → (ii), (B) → (i), (C) → (iii), (D) → (iv)
b)
(A) → (iv), (B) → (ii), (C) → (i), (D) → (iii)
c)
(A) → (i), (B) → (iii). (C) → (ii), (D) → (iv)
d)
(A) → (iii), (B) → (iv), (C) → (ii), (D) → (i)
|
Jyoti Arora
asked a question
|
Assertion A: The actual collection of the taxes in Chola villages was the concern of the ur or the sabha .Reason R: The feudatories on Chola officials were not allowed to collect the taxes directly from the tax-payer, thus eliminating any chances of his oppression by the above mentioned functionaries.- a)If Both A and R are true and R is the correct reason for A.
- b)If Both A and R are true but R is not the correct reason for A.
- c)If A is true but R is false.
- d)If R is true but A is false.
Correct answer is option 'B'. Can you explain this answer?
Assertion A: The actual collection of the taxes in Chola villages was the concern of the ur or the sabha .
Reason R: The feudatories on Chola officials were not allowed to collect the taxes directly from the tax-payer, thus eliminating any chances of his oppression by the above mentioned functionaries.
a)
If Both A and R are true and R is the correct reason for A.
b)
If Both A and R are true but R is not the correct reason for A.
c)
If A is true but R is false.
d)
If R is true but A is false.
|
Arjun Kaul
asked a question
|
A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire? Given that the Young's modulus for steel is Young's modulus of the material is 2.00×1011 N/m2)- a)1.4 mm
- b)10 mm
- c)1.5 mm
- d)12.4 mm
Correct answer is option 'A'. Can you explain this answer?
A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire? Given that the Young's modulus for steel is Young's modulus of the material is 2.00×1011 N/m2)
a)
1.4 mm
b)
10 mm
c)
1.5 mm
d)
12.4 mm
|
|
Ishan Shah
asked a question
|
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): If an electron is not deflected when moving through a certain region of space, then the only possibility is that no magnetic field is present in that region.Reason (R): Force on electron is directly proportional to the strength of the magnetic field.- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is true
Correct answer is option 'A'. Can you explain this answer?
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): If an electron is not deflected when moving through a certain region of space, then the only possibility is that no magnetic field is present in that region.
Reason (R): Force on electron is directly proportional to the strength of the magnetic field.
a)
Both A and R are true and R is the correct explanation of A
b)
Both A and R are true but R is NOT the correct explanation of A
c)
A is true but R is false
d)
A is false and R is true
|
Sakshi Pratihasta
asked a question
|
Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:
- a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.
- b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.
- c)At x = x3, K.E. = 4 J.
- d)At x > x4, K.E. is constant throughout the region.
Correct answer is option 'A'. Can you explain this answer?
Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:
a)
At x < x1, K.E. is smallest and the particle is moving at the slowed speed.
b)
At x = x2, K.E. is greatest and the particle is moving at the fastest speed.
c)
At x = x3, K.E. = 4 J.
d)
At x > x4, K.E. is constant throughout the region.
|
Mansi Behl
asked a question
|
Which one of the following solutions of sulphuric acid will exactly neutralise 25 ml of 0.2 M sodium hydroxide solution ?- a)12.5 ml of 0.1 M solution
- b)25 ml of 0.1 M solution
- c)25 ml of 0.2 M solution
- d)50 ml of 0.2 M solution
Correct answer is option 'B'. Can you explain this answer?
a)
12.5 ml of 0.1 M solution
b)
25 ml of 0.1 M solution
c)
25 ml of 0.2 M solution
d)
50 ml of 0.2 M solution
|
Kusum Kumari
asked a question
|
For the reaction A→B, the rate law expression is rate = k[A]. Which of the following statements is incorrect?- a) The reaction follows first order kinetics
- b) The t₁∕₂ of reaction depends on initial concentration of reactants
- c) k is constant for the reaction at a constant temperature
- d) The rate law provides a simple way of predicting the conc. of reactants and products at any time after the start of the reaction
Correct answer is option 'B'. Can you explain this answer?
a)
The reaction follows first order kinetics
b)
The t₁∕₂ of reaction depends on initial concentration of reactants
c)
k is constant for the reaction at a constant temperature
d)
The rate law provides a simple way of predicting the conc. of reactants and products at any time after the start of the reaction
|
Sanika Shaikh Shaikh
asked a question
|
Direction (Q. Nos. 1- 8) This section contains 8 multiple choice questions. Each question has four
choices (a), (b), (c) and (d), out of which ONE or MORE THANT ONE is correct.
Q.Among the butane conformers, when viewed about C2-C3 bond, which occur at energy minima on a graph of potential energy versus dihedral angle? - a)Gauche only
- b)Gauche
- c)Anti
- d)Eclipsed
Correct answer is option 'B,C'. Can you explain this answer?
Direction (Q. Nos. 1- 8) This section contains 8 multiple choice questions. Each question has four
choices (a), (b), (c) and (d), out of which ONE or MORE THANT ONE is correct.
choices (a), (b), (c) and (d), out of which ONE or MORE THANT ONE is correct.
Q.
Among the butane conformers, when viewed about C2-C3 bond, which occur at energy minima on a graph of potential energy versus dihedral angle?
a)
Gauche only
b)
Gauche
c)
Anti
d)
Eclipsed
|
Milan Datta
asked a question
|
Given below are two statements:Statement I: Potassium permanganate on heating at 573 K forms potassium manganate.
Statement II: Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature.In the light of the above statements, choose the most appropriate answer from the options given below:- a)Statement I is true, but statement II is false.
- b)Both statement I and statement II are true.
- c)Statement I is false, but statement II is true.
- d)Both statement I and statement II are false.
Correct answer is option 'A'. Can you explain this answer?
Given below are two statements:
Statement I: Potassium permanganate on heating at 573 K forms potassium manganate.
Statement II: Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature.
Statement II: Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature.
In the light of the above statements, choose the most appropriate answer from the options given below:
a)
Statement I is true, but statement II is false.
b)
Both statement I and statement II are true.
c)
Statement I is false, but statement II is true.
d)
Both statement I and statement II are false.
|
|
Shruti Joshi
asked a question
|
Read the given passages and answer the questions that follow:I laughed and said, ‘Well, Mr. Terror, what do you think you can do to me?’ It fled and I swam on.Q. Why did the narrator laugh?- a)Happy-go-lucky nature
- b)Mocking Mr. Terror
- c)Confident of defeating Mr. Terror
- d)All of these
Correct answer is option 'C'. Can you explain this answer?
Read the given passages and answer the questions that follow:
I laughed and said, ‘Well, Mr. Terror, what do you think you can do to me?’ It fled and I swam on.
Q. Why did the narrator laugh?
a)
Happy-go-lucky nature
b)
Mocking Mr. Terror
c)
Confident of defeating Mr. Terror
d)
All of these
|
Anuj Patil
asked a question
|
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): We cannot think of a magnetic configuration with three poles.
Reason(R): A bar magnet does exert a torque on itself due to its own field.- a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.
- b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion
- c)Assertion is true but Reason is false.
- d)Assertion is false but Reason is true.
Correct answer is option 'D'. Can you explain this answer?
Assertion(A): We cannot think of a magnetic configuration with three poles.
Reason(R): A bar magnet does exert a torque on itself due to its own field.
a)
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
b)
Both Assertion and Reason are true and Reason is not the correct explanation of assertion
c)
Assertion is true but Reason is false.
d)
Assertion is false but Reason is true.
|
|
Anuj Patil
asked a question
|
An electric dipole is placed along the X-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle π/3 with the X axis. If electric field at P makes an angle θ with X-axis, the value of θ is- a)π/3
- b)π/3 + tan-1√3/2
- c)3π/2
- d)tan-1√3/2
Correct answer is option 'B'. Can you explain this answer?
An electric dipole is placed along the X-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle π/3 with the X axis. If electric field at P makes an angle θ with X-axis, the value of θ is
a)
π/3
b)
π/3 + tan-1√3/2
c)
3π/2
d)
tan-1√3/2
|
Sagnik Sarkar
asked a question
|
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?- a)46/9
- b)50/9
- c)50/11
- d)36/7
- e)210/41
Correct answer is option 'D'. Can you explain this answer?
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?
a)
46/9
b)
50/9
c)
50/11
d)
36/7
e)
210/41
is treated will 2 moles of Br2, how many different isomers of products would be obtained?|
|
Mansi Behl
asked a question
|
A mixture of all possible stereoisomers from the above structure is subjected to fractional distillation, which of the following statements is correct- a)Two fractions are obtained, each fraction contains a pair of enantiomers
- b)Two fractions are obtained, one fraction contains a single meso compound and the other fraction contains a pair of enantiomers
- c)Three fractions are obtained; each fraction contains a pair of enantiomers.
- d)Three fractions are obtained, two fractions contain a single meso compound and one fraction contains a pair of enantiomers
Correct answer is option 'B'. Can you explain this answer?
A mixture of all possible stereoisomers from the above structure is subjected to fractional distillation, which of the following statements is correcta)
Two fractions are obtained, each fraction contains a pair of enantiomers
b)
Two fractions are obtained, one fraction contains a single meso compound and the other fraction contains a pair of enantiomers
c)
Three fractions are obtained; each fraction contains a pair of enantiomers.
d)
Three fractions are obtained, two fractions contain a single meso compound and one fraction contains a pair of enantiomers
|
Siddharth Chaudhary
asked a question
|
Statement I : Liquids tend to have maximum number of molecules at their surface.
Statement II : Small liquid drops have spherical shape.
- a)Statement I is correct but Statement II is incorrect
- b)Both Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I
- c)Both Statement l and Statement II are correct and Statement Il is the correct explanation of Statement I
- d)Statement II is correct but Statement I is incorrect
Correct answer is option 'B'. Can you explain this answer?
Statement I : Liquids tend to have maximum number of molecules at their surface.
Statement II : Small liquid drops have spherical shape.
Statement II : Small liquid drops have spherical shape.
a)
Statement I is correct but Statement II is incorrect
b)
Both Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I
c)
Both Statement l and Statement II are correct and Statement Il is the correct explanation of Statement I
d)
Statement II is correct but Statement I is incorrect
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