All India JEE Group
The identity element for the binary operation * defined by a * b = 
, where a, b are the elements of a set of non-zero rational numbers, is- a)1
- b)1/2
- c)0
- d)2
Correct answer is option 'D'. Can you explain this answer?
The identity element for the binary operation * defined by a * b = , where a, b are the elements of a set of non-zero rational numbers, is
, where a, b are the elements of a set of non-zero rational numbers, isa)
1
b)
1/2
c)
0
d)
2
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Shail Saha answered • 6 hours ago |
Understanding the Binary Operation *
The binary operation defined is a * b = ab/2, where a and b are non-zero rational numbers. To find the identity element, we need to determine an element e such that for any non-zero rational number a, the following holds true:
a * e = a and e * a = a.
Finding the Identity Element
1. Setting Up the Equation
We star... more
The binary operation defined is a * b = ab/2, where a and b are non-zero rational numbers. To find the identity element, we need to determine an element e such that for any non-zero rational number a, the following holds true:
a * e = a and e * a = a.
Finding the Identity Element
1. Setting Up the Equation
We star... more
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Yogesh Kumar
asked a question
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Let N be the set of non-negative integers, I the set of integers, Np the set of non-positive integers, E the set of even integers and P the set of prime numbers. Then
<... more
Let N be the set of non-negative integers, I the set of integers, Np the set of non-positive integers, E the set of even integers and P the set of prime numbers. Then
<... more
The number of five digits telephone numbers having atleast one of their digits repeated is- a)90000
- b)100000
- c)30240
- d)69760
Correct answer is option 'D'. Can you explain this answer?
a)
90000
b)
100000
c)
30240
d)
69760
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Nilotpal Goyal answered • 14 hours ago |
Understanding the Problem
To find the number of five-digit telephone numbers with at least one repeated digit, we can use the complementary counting method. This method involves calculating the total number of combinations and subtracting the combinations that have no repeated digits.
Total Number of Five-Digit Telephone Numbers
- The total number of five-digit telepho... more
To find the number of five-digit telephone numbers with at least one repeated digit, we can use the complementary counting method. This method involves calculating the total number of combinations and subtracting the combinations that have no repeated digits.
Total Number of Five-Digit Telephone Numbers
- The total number of five-digit telepho... more
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Kanishka Rathod
asked a question
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Let N denote the set of natural numbers and A={n2 : n ∈ N} and B ={n3 : n ∈ N}. Which one of the following is incorrect?- a)A ∪ B = N
- b)The complement of (A∪B) is an infinite set
- c)A∩B must be a finite set
- d)A ∩ B must be a proper subset of {m6 : m ∈ N}
Correct answer is option 'A'. Can you explain this answer?
Let N denote the set of natural numbers and A={n2 : n ∈ N} and B ={n3 : n ∈ N}. Which one of the following is incorrect?
a)
A ∪ B = N
b)
The complement of (A∪B) is an infinite set
c)
A∩B must be a finite set
d)
A ∩ B must be a proper subset of {m6 : m ∈ N}
The voltage 7.25 sin (300t) is applied to a series RLC circuit with R = 120 ohms, L = 0.140 H and C = 1.45 μF. What is the impedance Z and the phase angle θ?- a)120 ohms, -10.2o
- b)306 ohms, -68.1o
- c)2340 ohms, -25.7o
- d)2260 ohms, -87o
Correct answer is option 'D'. Can you explain this answer?
The voltage 7.25 sin (300t) is applied to a series RLC circuit with R = 120 ohms, L = 0.140 H and C = 1.45 μF. What is the impedance Z and the phase angle θ?
a)
120 ohms, -10.2o
b)
306 ohms, -68.1o
c)
2340 ohms, -25.7o
d)
2260 ohms, -87o
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Kailash Thakur answered • 16 hours ago |
Right answer is D
Characteristics and features of optical telescopes?
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Mihir Rane answered • 18 hours ago |
Characteristics of Optical Telescopes
Optical telescopes are essential tools for astronomers, designed to collect and magnify light from celestial objects. Their key characteristics include:
Optical telescopes are essential tools for astronomers, designed to collect and magnify light from celestial objects. Their key characteristics include:
- Light Gathering Power: The ability to collect light is crucial; larger apertures capture more light, enabling observation of fainter objects.
- Resolution: This det
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Kanishka Rathod
asked a question
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Which of the following is / are true?
I. If A is a subset of the universal set U, then its complement A′ is also a subset of U.
II. If U = {1,2,3,……,10} and A = {1,3,5, 7,9}, then (A′)′ = A- a)Only I is true
- b)Only II is true
- c)Both I and II are true
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Which of the following is / are true?
I. If A is a subset of the universal set U, then its complement A′ is also a subset of U.
II. If U = {1,2,3,……,10} and A = {1,3,5, 7,9}, then (A′)′ = A
I. If A is a subset of the universal set U, then its complement A′ is also a subset of U.
II. If U = {1,2,3,……,10} and A = {1,3,5, 7,9}, then (A′)′ = A
a)
Only I is true
b)
Only II is true
c)
Both I and II are true
d)
None of these
The chance of getting a doublet with 2 dice is- a)2/3
- b)1/6
- c)5/6
- d)5/36
Correct answer is option 'B'. Can you explain this answer?
The chance of getting a doublet with 2 dice is
a)
2/3
b)
1/6
c)
5/6
d)
5/36
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Jyoti Patel answered • 19 hours ago |
Understanding the Problem
When rolling two dice, a "doublet" occurs when both dice show the same number. There are six possible doublets: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
Total Outcomes
- Each die has 6 faces.
- The total number of outcomes when rolling two dice is:
- 6 (for the first die) * 6 (for the second die) = 36 possible outcomes.
<... more
When rolling two dice, a "doublet" occurs when both dice show the same number. There are six possible doublets: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
Total Outcomes
- Each die has 6 faces.
- The total number of outcomes when rolling two dice is:
- 6 (for the first die) * 6 (for the second die) = 36 possible outcomes.
<... more
Let 
defined as f(x) = 1/ x where x ∈ N is not an onto function. Which one of the following sets should be replaced by N such that the function f will become onto?- a)R0
- b)W
- c)Z
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Let defined as f(x) = 1/ x where x ∈ N is not an onto function. Which one of the following sets should be replaced by N such that the function f will become onto?
defined as f(x) = 1/ x where x ∈ N is not an onto function. Which one of the following sets should be replaced by N such that the function f will become onto?a)
R0
b)
W
c)
Z
d)
None of these
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Harshitha Shah answered • yesterday |
Understanding the Function f(x) = 1/x
The function f is defined as f : N → R - {0}, where f(x) = 1/x for x in the natural numbers N. This function maps each natural number to a positive real number.
Why f is Not Onto
- Definition of Onto: A function is onto if every element in the codomain (R - {0}) has a pre-image in the domain (N).
- Range of f: T... more
The function f is defined as f : N → R - {0}, where f(x) = 1/x for x in the natural numbers N. This function maps each natural number to a positive real number.
Why f is Not Onto
- Definition of Onto: A function is onto if every element in the codomain (R - {0}) has a pre-image in the domain (N).
- Range of f: T... more
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Nirupama Sahu
asked a question
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Two sets, A and B, are as under:
A = {(a, b) ∈ R × R : |a − 5| < 1 and |b − 5| < 1};
B = {a, b) ∈ R × R : 4 (a − 6)2 + 9(b−5) 2 ≤ 36}. Then,- a)A n B = φ (null set)
- b)Neither A subset of B nor B is a subset of A
- c)B is a subset of A
- d)A is a subset of B
Correct answer is option 'D'. Can you explain this answer?
Two sets, A and B, are as under:
A = {(a, b) ∈ R × R : |a − 5| < 1 and |b − 5| < 1};
B = {a, b) ∈ R × R : 4 (a − 6)2 + 9(b−5) 2 ≤ 36}. Then,
A = {(a, b) ∈ R × R : |a − 5| < 1 and |b − 5| < 1};
B = {a, b) ∈ R × R : 4 (a − 6)2 + 9(b−5) 2 ≤ 36}. Then,
a)
A n B = φ (null set)
b)
Neither A subset of B nor B is a subset of A
c)
B is a subset of A
d)
A is a subset of B
Which of the following do not show disproportionation reaction? 
, and 
- a)
, and 
- b)
only - c)
and 
- d)
only
Correct answer is option 'C'. Can you explain this answer?
, and a)
, and b)
onlyc)
and d)
only
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Ambition Institute answered • 2 days ago |
being most electronegative element cannot exhibit any positive oxidation state. In 
chlorine is present in its highest oxidation state i.e 
. Therefore it does not show disproportionation reaction.
The acceleration of a particle, starting from rest, varies with time according to relation ,
A= -a omega^2sin omega t .Find the displacemnt of this particle at a time (t).?
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Rajveer Chauhan answered • 2 days ago |
Understanding the Problem
The acceleration of the particle is given by the equation:
A = -a ω² sin(ωt).
The particle starts from rest, indicating that its initial velocity (v(0)) is zero.
Step 1: Finding Velocity
To find the velocity (v) as a function of time (t), we integrate the acceleration with respect to time:
- v(t) = ∫A dt
- v(t) = ∫(-a ω²... more
The acceleration of the particle is given by the equation:
A = -a ω² sin(ωt).
The particle starts from rest, indicating that its initial velocity (v(0)) is zero.
Step 1: Finding Velocity
To find the velocity (v) as a function of time (t), we integrate the acceleration with respect to time:
- v(t) = ∫A dt
- v(t) = ∫(-a ω²... more
then the value of (a3 + b3 + c3 + abc) equalsThe of a particle starting from rest, varies with time according to the relation?
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Jatin Iyer answered • 2 days ago |
Understanding Particle Motion
When analyzing the motion of a particle starting from rest, it is essential to consider how its velocity changes over time. The relationship between position, velocity, and time can be described in various ways, often involving equations of motion.
1. Initial Conditions
- The particle starts from rest, meaning its initial velocity (u) is 0... more
When analyzing the motion of a particle starting from rest, it is essential to consider how its velocity changes over time. The relationship between position, velocity, and time can be described in various ways, often involving equations of motion.
1. Initial Conditions
- The particle starts from rest, meaning its initial velocity (u) is 0... more
A non-conducting sphere has uniform charge density in it. The electric field at a point inside the sphere will be _______ - a)Zero
- b)Only due to the charge inside that point
- c)Only due to the charge outside that point
- d)Due to the entire charge of the sphere
Correct answer is option 'B'. Can you explain this answer?
A non-conducting sphere has uniform charge density in it. The electric field at a point inside the sphere will be _______
a)
Zero
b)
Only due to the charge inside that point
c)
Only due to the charge outside that point
d)
Due to the entire charge of the sphere
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Tejas Malik answered • 2 days ago |
Understanding the Electric Field Inside a Non-Conducting Sphere
When analyzing the electric field within a uniformly charged non-conducting sphere, we must consider the principles of electrostatics.
Gauss's Law
- Gauss's Law states that the electric flux through a closed surface is proportional to the charge enclosed within that surface.
- For a point inside the s... more
When analyzing the electric field within a uniformly charged non-conducting sphere, we must consider the principles of electrostatics.
Gauss's Law
- Gauss's Law states that the electric flux through a closed surface is proportional to the charge enclosed within that surface.
- For a point inside the s... more
Filippo Brunelleschi is not known for --------- a)Architecture
- b)Sculpture
- c)Writing
- d)Mechanical engineering
Correct answer is option 'C'. Can you explain this answer?
Filippo Brunelleschi is not known for --------
a)
Architecture
b)
Sculpture
c)
Writing
d)
Mechanical engineering
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Dhruv Ghosh answered • 3 days ago |
Overview of Filippo Brunelleschi
Filippo Brunelleschi was a pivotal figure of the Renaissance, renowned primarily for his contributions to architecture and engineering. His innovative approaches and designs significantly shaped the architectural landscape of Italy.
Contributions to Architecture
- Dome of Florence Cathedral: Brunelleschi is best known for designi... more
Filippo Brunelleschi was a pivotal figure of the Renaissance, renowned primarily for his contributions to architecture and engineering. His innovative approaches and designs significantly shaped the architectural landscape of Italy.
Contributions to Architecture
- Dome of Florence Cathedral: Brunelleschi is best known for designi... more
How does electric field strength change with distance from a short dipole?- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
How does electric field strength change with distance from a short dipole?
a)
b)
c)
d)
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Learners Habitat answered • 3 days ago |
The electric field strength of a short dipole decreases as the distance from the dipole increases.
This relationship follows an inverse cube law, meaning the field strength is proportional to 1/r³ (where r is the distance).
As you move further away, the field becomes weaker more rapidly compared to point charges.
The dipole's field pattern is directional, meaning the field lines spread out from the positive to the negative charge.
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Thulirgal Priyan
asked a question
|
At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors are attending the conference?- a)48,1
- b)34,3
- c)46,4
- d)42,2
Correct answer is option 'A'. Can you explain this answer?
At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors are attending the conference?
a)
48,1
b)
34,3
c)
46,4
d)
42,2
is
will be
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Tab Home
asked a question
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DIRECTION: Read the following passage carefully and answer the questions given below it.The likelihood of at least 600,000 deaths being caused annually in India by fine particulate matter pollution in the air is cause for worry, even if the data released by the World Health Organisation are only a modelled estimate. The conclusion that so many deaths could be attributed to particulate matter 2.5 micrometres or less in size is, of course, caveated, since comprehensive measurement of PM2.5 is not yet being done and the linkages between pollution, disease and deaths need further study. What is not in doubt is that residents in many urban areas are forced to breathe unhealthy levels of particulates, and the smallest of these - PM10 and less - can penetrate and get lodged deep in the lungs.
The WHO Global Burden of Disease study has been working to estimate pollution-linked health impacts, such as stroke and ischaemic heart disease, acute lower respiratory infection and chronic obstructive pulmonary disease. Data on fine particulates in India show that in several locations the pollutants come from burning of biomass, such as coal, fuel wood, farm litter and cow dung cakes. In highly built-up areas, construction debris, road dust and vehicular exhaust add to the problem. The Prime Minister launched an Air Quality Index last year aimed at improving pollution control. The new data, which the WHO says provide the best evidence available on the terrible toll taken by particulates, should lead to intensified action. A neglected aspect of urban air pollution control is the virtual discarding of the Construction and Demolition Waste Management Rules, notified to sustainably manage debris that is dumped in the cities, creating severe particulate pollution.
The Environment Ministry has highlighted the role that debris can play as a resource. Municipal and government contracts are, under the rules, required to utilise up to 20 per cent materials made from construction and demolition waste, and local authorities must place containers to hold debris. This must be implemented without delay. Providing cleaner fuels and scientifically designed cookstoves to those who have no option but to burn biomass, would have a big impact on reducing particulate matter in the northern and eastern States, which are the worst-hit during winter, when biomass is also used for heating.
Greening the cities could be made a mission, involving civil society, with a focus on landscaping open spaces and paving all public areas to reduce dust. These measures can result in lower PM10 and PM2.5 levels.
Comprehensive measurement of these particulates is currently absent in many cities, a lacuna that needs to be addressed.Q. As per the given passage, which of the following is/are the measures for lowering particulate matter in the atmosphere?
(I) Making cleaner fuels available
(II) Landscaping open areas
(III) Providing cooking stoves designed scientifically... more
DIRECTION: Read the following passage carefully and answer the questions given below it.
The likelihood of at least 600,000 deaths being caused annually in India by fine particulate matter pollution in the air is cause for worry, even if the data released by the World Health Organisation are only a modelled estimate. The conclusion that so many deaths could be attributed to particulate matter 2.5 micrometres or less in size is, of course, caveated, since comprehensive measurement of PM2.5 is not yet being done and the linkages between pollution, disease and deaths need further study. What is not in doubt is that residents in many urban areas are forced to breathe unhealthy levels of particulates, and the smallest of these - PM10 and less - can penetrate and get lodged deep in the lungs.
The WHO Global Burden of Disease study has been working to estimate pollution-linked health impacts, such as stroke and ischaemic heart disease, acute lower respiratory infection and chronic obstructive pulmonary disease. Data on fine particulates in India show that in several locations the pollutants come from burning of biomass, such as coal, fuel wood, farm litter and cow dung cakes. In highly built-up areas, construction debris, road dust and vehicular exhaust add to the problem. The Prime Minister launched an Air Quality Index last year aimed at improving pollution control. The new data, which the WHO says provide the best evidence available on the terrible toll taken by particulates, should lead to intensified action. A neglected aspect of urban air pollution control is the virtual discarding of the Construction and Demolition Waste Management Rules, notified to sustainably manage debris that is dumped in the cities, creating severe particulate pollution.
The Environment Ministry has highlighted the role that debris can play as a resource. Municipal and government contracts are, under the rules, required to utilise up to 20 per cent materials made from construction and demolition waste, and local authorities must place containers to hold debris. This must be implemented without delay. Providing cleaner fuels and scientifically designed cookstoves to those who have no option but to burn biomass, would have a big impact on reducing particulate matter in the northern and eastern States, which are the worst-hit during winter, when biomass is also used for heating.
Greening the cities could be made a mission, involving civil society, with a focus on landscaping open spaces and paving all public areas to reduce dust. These measures can result in lower PM10 and PM2.5 levels.
Comprehensive measurement of these particulates is currently absent in many cities, a lacuna that needs to be addressed.
The WHO Global Burden of Disease study has been working to estimate pollution-linked health impacts, such as stroke and ischaemic heart disease, acute lower respiratory infection and chronic obstructive pulmonary disease. Data on fine particulates in India show that in several locations the pollutants come from burning of biomass, such as coal, fuel wood, farm litter and cow dung cakes. In highly built-up areas, construction debris, road dust and vehicular exhaust add to the problem. The Prime Minister launched an Air Quality Index last year aimed at improving pollution control. The new data, which the WHO says provide the best evidence available on the terrible toll taken by particulates, should lead to intensified action. A neglected aspect of urban air pollution control is the virtual discarding of the Construction and Demolition Waste Management Rules, notified to sustainably manage debris that is dumped in the cities, creating severe particulate pollution.
The Environment Ministry has highlighted the role that debris can play as a resource. Municipal and government contracts are, under the rules, required to utilise up to 20 per cent materials made from construction and demolition waste, and local authorities must place containers to hold debris. This must be implemented without delay. Providing cleaner fuels and scientifically designed cookstoves to those who have no option but to burn biomass, would have a big impact on reducing particulate matter in the northern and eastern States, which are the worst-hit during winter, when biomass is also used for heating.
Greening the cities could be made a mission, involving civil society, with a focus on landscaping open spaces and paving all public areas to reduce dust. These measures can result in lower PM10 and PM2.5 levels.
Comprehensive measurement of these particulates is currently absent in many cities, a lacuna that needs to be addressed.
Q. As per the given passage, which of the following is/are the measures for lowering particulate matter in the atmosphere?
(I) Making cleaner fuels available
(II) Landscaping open areas
(III) Providing cooking stoves designed scientifically
(I) Making cleaner fuels available
(II) Landscaping open areas
(III) Providing cooking stoves designed scientifically
Then the value (s) of 
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Keerthi Spandana N
asked a question
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Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been- a)55
- b)60
- c)54
- d)50
Correct answer is option 'D'. Can you explain this answer?
Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been
a)
55
b)
60
c)
54
d)
50
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Nabanita Bajaj
asked a question
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Read the following graph carefully and answer the question given below.
The bar graph shows the number of students who joined the school in a particular year and who left the school in same year.
The number of students in 2000 = 2500
For which of the following years, the percentage increase/decrease is the highest with respect to the previous year.- a)2002
- b)2004
- c)2006
- d)2003
Correct answer is option 'B'. Can you explain this answer?
Read the following graph carefully and answer the question given below.
The bar graph shows the number of students who joined the school in a particular year and who left the school in same year.
The number of students in 2000 = 2500
For which of the following years, the percentage increase/decrease is the highest with respect to the previous year.
The bar graph shows the number of students who joined the school in a particular year and who left the school in same year.
The number of students in 2000 = 2500
For which of the following years, the percentage increase/decrease is the highest with respect to the previous year.
a)
2002
b)
2004
c)
2006
d)
2003
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Rahul Yadav
asked a question
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Which of the following statements about unpaired electrons is correct?- a)Unpaired electrons cause a substance to be diamagnetic.
- b)Unpaired electrons are always found in the s-orbital only.
- c)The number of unpaired electrons determines the magnetic properties of a complex.
- d)Unpaired electrons always pair up immediately in any orbital.
Correct answer is option 'C'. Can you explain this answer?
Which of the following statements about unpaired electrons is correct?
a)
Unpaired electrons cause a substance to be diamagnetic.
b)
Unpaired electrons are always found in the s-orbital only.
c)
The number of unpaired electrons determines the magnetic properties of a complex.
d)
Unpaired electrons always pair up immediately in any orbital.
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Manish Bajaj
asked a question
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According to Crystal Field Theory, the colour of a coordination complex is mainly due to- a)The metal’s atomic number
- b)The splitting of d-orbitals and absorption of certain wavelengths of light
- c)The size of the ligands attached to the metal
- d)The number of electrons in the outermost shell of the metal ion
Correct answer is option 'B'. Can you explain this answer?
According to Crystal Field Theory, the colour of a coordination complex is mainly due to
a)
The metal’s atomic number
b)
The splitting of d-orbitals and absorption of certain wavelengths of light
c)
The size of the ligands attached to the metal
d)
The number of electrons in the outermost shell of the metal ion
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Bijoy Joshi
asked a question
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In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
- a)62
- b)55
- c)66
- d)59
Correct answer is option 'C'. Can you explain this answer?
In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
a)
62
b)
55
c)
66
d)
59
where b is a constant such that 0 < b < 1. Then
then the function g(x) is
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Amrita Sharma
asked a question
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Direction (Q. Nos. 1-16) This section contains 16 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.Q. Octet rule is not followed in- a)CCI4, N2O4, N2O5
- b)BF3, BeCI3, NO2
- c)NaCI, MgCI2, MgO
- d)PCI3, NH3, H2O
Correct answer is option 'B'. Can you explain this answer?
Direction (Q. Nos. 1-16) This section contains 16 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.
Q. Octet rule is not followed in
a)
CCI4, N2O4, N2O5
b)
BF3, BeCI3, NO2
c)
NaCI, MgCI2, MgO
d)
PCI3, NH3, H2O
are the roots of the equation ax2 + bx + c = 0, a ≠ 0 then
is
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C Awa
asked a question
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Directions to Solve In each of the following questions, choose the correct mirror images of the given image of the Fig.(X) from amongst the four alternatives (1), (2), (3) and (4) given along with it. Question - Choose the correct mirror image of the given figure (X) from amongst the four alternatives.
(X) (1) (2) (3) (4)- a)1
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
Directions to Solve
In each of the following questions, choose the correct mirror images of the given image of the Fig.(X) from amongst the four alternatives (1), (2), (3) and (4) given along with it.
Choose the correct mirror image of the given figure (X) from amongst the four alternatives.
(X) (1) (2) (3) (4)
a)
1
b)
2
c)
3
d)
4
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Akashdip Chaudhuri
asked a question
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The solution of the equation (1+x2)(1+y)dy+(1+x)(1+y2)dx=0 is- a)tan⁻1x+log(1+x2)+tan⁻1y+log(1+y2)=c
- b)tan⁻1x-(1/2)log(1+x2)+tan⁻1y-(1/2)log(1+y2)=c
- c)tan⁻1x+(1/2)log(1+x2)+tan⁻1y+(1/2)log(1+y2)=c
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
The solution of the equation (1+x2)(1+y)dy+(1+x)(1+y2)dx=0 is
a)
tan⁻1x+log(1+x2)+tan⁻1y+log(1+y2)=c
b)
tan⁻1x-(1/2)log(1+x2)+tan⁻1y-(1/2)log(1+y2)=c
c)
tan⁻1x+(1/2)log(1+x2)+tan⁻1y+(1/2)log(1+y2)=c
d)
none of these
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Harsh Adiwal
asked a question
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Find the force experienced by the semicircular rod charged with a charge q, placed as shown in figure. Radius of the wire is R and the infinitely long line of charge with linear density l is passing through its centre and perpendicular to the plane of wire.
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
Find the force experienced by the semicircular rod charged with a charge q, placed as shown in figure. Radius of the wire is R and the infinitely long line of charge with linear density l is passing through its centre and perpendicular to the plane of wire.
a)
b)
c)
d)
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parth sarthi mishra
asked a question
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Can you explain the answer of this question below:Two similar charge of +Q , as shown in figure are placed at A and B. _q charge is placed at point C midway between A and B. _q charge will oscillate if
- A:
It is moved towards A
- B:
It is moved towards B
- C:
It is moved upwards AB
- D:
Distance between A and B is reduced
The answer is a.
Two similar charge of +Q , as shown in figure are placed at A and B. _q charge is placed at point C midway between A and B. _q charge will oscillate if
It is moved towards A
It is moved towards B
It is moved upwards AB
Distance between A and B is reduced
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Adnan Al Kamali
asked a question
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A spherical conductor of radius 10 cm has a charge of 3.2 x 10–7 C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere?
- a)1.28 x 104 N/C
- b)1.28 x 105 N/C
- c)1.28 x 106 N/C
- d)1.28 x 107 N/C
Correct answer is option 'B'. Can you explain this answer?
A spherical conductor of radius 10 cm has a charge of 3.2 x 10–7 C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere?
a)
1.28 x 104 N/C
b)
1.28 x 105 N/C
c)
1.28 x 106 N/C
d)
1.28 x 107 N/C
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Rahul Ningasani
asked a question
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Two cells, having the same e.m.f., are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is [2006- a)
- b)
- c)r1 + r2
- d)r1 - r2
Correct answer is option 'D'. Can you explain this answer?
Two cells, having the same e.m.f., are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is [2006
a)
b)
c)
r1 + r2
d)
r1 - r2
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Disha Tiwari
asked a question
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Two masses M and m (with M > m) are connected by means of a pulley as shown in the figure. The system is released. At the instant when mass M has fallen through a distance h, the velocity of mass m will be
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Two masses M and m (with M > m) are connected by means of a pulley as shown in the figure. The system is released. At the instant when mass M has fallen through a distance h, the velocity of mass m will be
a)
b)
c)
d)
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Mrinalini Kaur
asked a question
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If a non-polar substance is placed in an electric field, what will happen?- a)A net dipole moment will be observed
- b)The substance will oscillate
- c)The substance will orient itself perpendicular to the electric field
- d)It will conduct electricity
Correct answer is option 'A'. Can you explain this answer?
If a non-polar substance is placed in an electric field, what will happen?
a)
A net dipole moment will be observed
b)
The substance will oscillate
c)
The substance will orient itself perpendicular to the electric field
d)
It will conduct electricity
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Sankar Kulkarni
asked a question
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A tennis ball which has been covered with charges is suspended by a thread so that it hangs between two metal plates. One plate is earthed, while other is attracted to a high voltage generator. The ball- a)hangs without moving
- b)is attracted to the high voltage plate and stays there
- c)swings backward & forward hitting each plate in turn
- d)is repelled by earthed plate and stays there
Correct answer is option 'C'. Can you explain this answer?
A tennis ball which has been covered with charges is suspended by a thread so that it hangs between two metal plates. One plate is earthed, while other is attracted to a high voltage generator. The ball
a)
hangs without moving
b)
is attracted to the high voltage plate and stays there
c)
swings backward & forward hitting each plate in turn
d)
is repelled by earthed plate and stays there
then dy/dz = 
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Nisha Kulkarni
asked a question
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Two plates are oppositely charged uniformly and kept parallel to each other at a certain distance. What will be the nature of electric field lines in between them?- a)Circular
- b)Parallel to each other throughout the cross section
- c)Not uniformly distributed
- d)Parallel and uniform in central part but fringes out at the extreme ends
Correct answer is option 'D'. Can you explain this answer?
Two plates are oppositely charged uniformly and kept parallel to each other at a certain distance. What will be the nature of electric field lines in between them?
a)
Circular
b)
Parallel to each other throughout the cross section
c)
Not uniformly distributed
d)
Parallel and uniform in central part but fringes out at the extreme ends
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Abhijeet Menon
asked a question
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Two point charges of the same polarities are hung with the help of two threads and kept close. The angle between the threads will be _________ if the system is taken to space.- a)180 degree
- b)90 degree
- c)45 degree
- d)60 degree
Correct answer is option 'A'. Can you explain this answer?
Two point charges of the same polarities are hung with the help of two threads and kept close. The angle between the threads will be _________ if the system is taken to space.
a)
180 degree
b)
90 degree
c)
45 degree
d)
60 degree
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Sonali Singh
asked a question
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Anil grows tomatoes in his backyard which is in the shape of a square. Each tomato takes 1 cm2 in his backyard. This year, he has been able to grow 131 more tomatoes than last year. The shape of the backyard remained a square. How many tomatoes did Anil produce this year?- a)4225
- b)4096
- c)4356
- d)Insufficient Data
Correct answer is option 'C'. Can you explain this answer?
Anil grows tomatoes in his backyard which is in the shape of a square. Each tomato takes 1 cm2 in his backyard. This year, he has been able to grow 131 more tomatoes than last year. The shape of the backyard remained a square. How many tomatoes did Anil produce this year?
a)
4225
b)
4096
c)
4356
d)
Insufficient Data
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Saif Al Abdulla
asked a question
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A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field 
. Due to the force 
, its velocity increases from 0 to 6 m s–1 in one second duration. At that instant the direction of the field is
reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively- a)2 m s–1, 4 m s–1
- b)1 m s–1, 3 m s–1
- c)1 m s–1, 3.5 m s–1
- d)1.5 m s–1, 3 m s–1
Correct answer is option 'B'. Can you explain this answer?
A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field . Due to the force , its velocity increases from 0 to 6 m s–1 in one second duration. At that instant the direction of the field is
reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively
. Due to the force , its velocity increases from 0 to 6 m s–1 in one second duration. At that instant the direction of the field isreversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively
a)
2 m s–1, 4 m s–1
b)
1 m s–1, 3 m s–1
c)
1 m s–1, 3.5 m s–1
d)
1.5 m s–1, 3 m s–1
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Guddu Tyagi
asked a question
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One or More than One Options Correct TypeDirection (Q. Nos. 11-15) This section contains 5 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONE or MORE THAN ONE are correct.Q. Which of the following metal ions cannot form both high spin and low spin octahedral complexes?- a)Ti3+
- b)Co2+
- c)Fe2+
- d)Cu2+
Correct answer is option 'A,D'. Can you explain this answer?
One or More than One Options Correct Type
Direction (Q. Nos. 11-15) This section contains 5 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONE or MORE THAN ONE are correct.
Q.
Which of the following metal ions cannot form both high spin and low spin octahedral complexes?
a)
Ti3+
b)
Co2+
c)
Fe2+
d)
Cu2+
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Kayal Vizhi
asked a question
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Directions to Solve In each of the following questions, choose the correct mirror images of the given image of the Fig.(X) from amongst the four alternatives (1), (2), (3) and (4) given along with it. Question - Choose the correct mirror image of the given figure (X) from amongst the four alternatives.
(X) (1) (2) (3) (4)- a)1
- b)2
- c)3
- d)4
Correct answer is option 'C'. Can you explain this answer?
Directions to Solve
In each of the following questions, choose the correct mirror images of the given image of the Fig.(X) from amongst the four alternatives (1), (2), (3) and (4) given along with it.
Choose the correct mirror image of the given figure (X) from amongst the four alternatives.
(X) (1) (2) (3) (4)
a)
1
b)
2
c)
3
d)
4
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Naina Bansal
asked a question
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Direction (Q. Nos. 22) This section contains 1 questions. when worked out will result in an integer from 0 to 9 (both inclusive)Q. Most acidic H in the following compound is attached to C-atoms denoted by at S-N. ( ) ...
Correct answer is '1'. Can you explain this answer?
Direction (Q. Nos. 22) This section contains 1 questions. when worked out will result in an integer from 0 to 9 (both inclusive)
Q. Most acidic H in the following compound is attached to C-atoms denoted by at S-N. ( ) ...
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