JEE Main Practice Test- 29 - JEE MCQ

# JEE Main Practice Test- 29 - JEE MCQ

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## 90 Questions MCQ Test JEE Main & Advanced Mock Test Series - JEE Main Practice Test- 29

JEE Main Practice Test- 29 for JEE 2024 is part of JEE Main & Advanced Mock Test Series preparation. The JEE Main Practice Test- 29 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Practice Test- 29 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Practice Test- 29 below.
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JEE Main Practice Test- 29 - Question 1

### Which one of the following is not made of soft iron

JEE Main Practice Test- 29 - Question 2

### The long wavelength limit of Lyman series is

JEE Main Practice Test- 29 - Question 3

### Two particles having mass M and m are moving in a circular having radius R and r. If their time periods are same then the radio of angular velocity will be

JEE Main Practice Test- 29 - Question 4

If A is the mass no. of an element, then volume of the nucleus of an atom of this element is proportional to

JEE Main Practice Test- 29 - Question 5

When X-rays pass through a strong uniform magnetic field, then they

JEE Main Practice Test- 29 - Question 6

The r.m.s. value of an a.c. of 50 Hz is 10A. The time taken by a.c. in reaching from zero to maximum value and the peak value of current will be

Detailed Solution for JEE Main Practice Test- 29 - Question 6
JEE Main Practice Test- 29 - Question 7

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

Detailed Solution for JEE Main Practice Test- 29 - Question 7

JEE Main Practice Test- 29 - Question 8

A ball of wt. 0.1 kg coming with speed 30 m/s strikes with a bat and returns in opposite direction with speed 40 m/s, then impulse is

JEE Main Practice Test- 29 - Question 9

Electric field at the centroid of a triangle carrying q charge at each corner is

JEE Main Practice Test- 29 - Question 10

A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it, but will break if the mass exceeds 25 kg. What is the maximum acceleration, with which the monkey can climb up along the rope? (Take g = 10 m−s⁻2)

Detailed Solution for JEE Main Practice Test- 29 - Question 10
M(g+a)=250N So a=2.5 ms-²
JEE Main Practice Test- 29 - Question 11

A galvanometer having a resistance of 8 Ω is shunted by a wire of resistance 2 Ω. If the total current is 1 A, then current passing through the shunt will be

JEE Main Practice Test- 29 - Question 12

The logic circuit shown below has the input wave forms 'A' and 'B' as shown. Pick out the correct output wave form.

JEE Main Practice Test- 29 - Question 13

A motor boat of mass 300 kg is standing in water. If the area of the bottom surface is 120 m2, then the boat will exert a pressure of (Take g=10 m-s⁻2)

JEE Main Practice Test- 29 - Question 14

The function of the moderator in a nuclear reactor is

JEE Main Practice Test- 29 - Question 15

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): Speed of light in water is less than the speed in air.
Reason(R): Refractive index of water is greater than one .

JEE Main Practice Test- 29 - Question 16

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): In general magnetic force between two charges is much smaller compared to the electric force .
Reason(R): In general velocity of charges << velocity of light in free space.

JEE Main Practice Test- 29 - Question 17

For motion in a plane with constant acceleration, a → , initial velocity v 0 → and final velocity ν → after time t, we have

JEE Main Practice Test- 29 - Question 18

The least coefficient of friction for an inclined plane inclined at angle α with horizontal in order that a solid cylinder will roll down it without slipping is

JEE Main Practice Test- 29 - Question 19

A measure of the degree of disorder of a system is known as

JEE Main Practice Test- 29 - Question 20

In young's double slit experiment, the intensity of central maximum is I. It one slit is closed, the intensity at the same place will become

JEE Main Practice Test- 29 - Question 21

The energy density and pressure have

Detailed Solution for JEE Main Practice Test- 29 - Question 21

'Co-efficient of friction' is a physical quantity that has no unit and no dimensions.
Though energy density and pressuire have the same dimensions, they do not share the same units, hence they are different physical quantities.

JEE Main Practice Test- 29 - Question 22
In young's double slit experiment, three light, blue, yellow and red are used successively. For which colour, will the fringe width be maximum?
JEE Main Practice Test- 29 - Question 23

A wavefront is an imaginary surface where

JEE Main Practice Test- 29 - Question 24

A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wave

JEE Main Practice Test- 29 - Question 25

Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube ?

JEE Main Practice Test- 29 - Question 26

A condenser is connected across another charged condenser. The energy in the two condenser will be

JEE Main Practice Test- 29 - Question 27

A tachometer is a device to measure

JEE Main Practice Test- 29 - Question 28

In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is

Detailed Solution for JEE Main Practice Test- 29 - Question 28
JEE Main Practice Test- 29 - Question 29

The figure to the right shows an edge-on view of three extremely large, parallel insulating sheets positively charged with uniform and identical surface charge densities. In which of the regions shown is the electric field a maximum?

JEE Main Practice Test- 29 - Question 30

Cathode rays enter into a uniform magnetic field perpendicular to the direction of the field. In the magnetic field their path will be

JEE Main Practice Test- 29 - Question 31

Methanol is manufactured by

JEE Main Practice Test- 29 - Question 32

1-Phenylethanol can be prepared by reaction of benzaldehyde with

JEE Main Practice Test- 29 - Question 33

Pick out the unsaturated fatty acid from the following

JEE Main Practice Test- 29 - Question 34

At certain temperature, 50% of HI is dissociated into H2 and I2, the equilibrium constant is

Detailed Solution for JEE Main Practice Test- 29 - Question 34
Let the entire reaction take place in a vessel of Volume V
Given the equation
2HI= I2 + H2
Here let initial moles of HI=N. Moles vanished=y
So at time=0   N=   0       0
At time =t
N-2y= y      y
Given 50% of HI dissociates. So conc. of HI left=50%
So we can say
N-2y=50%of N
N-2y=N/2
2y=N-N/2
y=N/4
[I2] =N/4V=[H2]
[HI] =N/2V
So  Kc=[I2].[H2]/[HI]^2
Kc=(N^2/16)/(N^2/4)     =(N^2x4)/(N^2x16)     =4/16     =0.25
JEE Main Practice Test- 29 - Question 35

For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

JEE Main Practice Test- 29 - Question 36

The element with highest electron affinity among the halogens is

Detailed Solution for JEE Main Practice Test- 29 - Question 36

As we move from Cl to I, the electron affinity becomes less due to a corresponding increase in their atomic radii. The electron affinity of F is, however, unexpectedly less than that of Cl, because due to its small size, there are electron-electron repulsions in the relatively compact 2p-subshell.

JEE Main Practice Test- 29 - Question 37

Variation of heat of reaction with temperature is known as

JEE Main Practice Test- 29 - Question 38

The shape of cuprammonium ion is

JEE Main Practice Test- 29 - Question 39

Dye test can be used to distinguish between

JEE Main Practice Test- 29 - Question 40

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

JEE Main Practice Test- 29 - Question 41

The hydroxide ion concentration of a wine is 8 ´ 10–11 M. What is the pH of the wine?

Detailed Solution for JEE Main Practice Test- 29 - Question 41

JEE Main Practice Test- 29 - Question 42

The pH of 10 M HCl aqueous solution is

JEE Main Practice Test- 29 - Question 43

The compound whose 0.1 M solutions is basic is

JEE Main Practice Test- 29 - Question 44

The compound whose water solution has the highest pH is

JEE Main Practice Test- 29 - Question 45

The dissociation constant is highest for

Detailed Solution for JEE Main Practice Test- 29 - Question 45
The dissociation constant is highest for Phenol (C6H5OH). This result can be obtained from the fact that dissociation constant is higher for reactions in which more products are obtained, or the products are more stable.
JEE Main Practice Test- 29 - Question 46

The order of decreasing ease of reaction with ammonia is

JEE Main Practice Test- 29 - Question 47

Which is not the primary carbocation?

JEE Main Practice Test- 29 - Question 48

Ethane is obtained from ethylene by which of the following methods?

JEE Main Practice Test- 29 - Question 49

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

JEE Main Practice Test- 29 - Question 50

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

JEE Main Practice Test- 29 - Question 51

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

JEE Main Practice Test- 29 - Question 52

An example of natural biopolymer is

JEE Main Practice Test- 29 - Question 53

Identify the mixture that shows positive deviations from Raoult's law

JEE Main Practice Test- 29 - Question 54

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

JEE Main Practice Test- 29 - Question 55

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

JEE Main Practice Test- 29 - Question 56

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

Detailed Solution for JEE Main Practice Test- 29 - Question 56

JEE Main Practice Test- 29 - Question 57

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

JEE Main Practice Test- 29 - Question 58

For a second order reaction, the time required for half change is _

Detailed Solution for JEE Main Practice Test- 29 - Question 58

For a second order reaction.
where a = b

JEE Main Practice Test- 29 - Question 59

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

Detailed Solution for JEE Main Practice Test- 29 - Question 59

Due to synergic bond formation between metal and CO, the bond order of CO decreases

JEE Main Practice Test- 29 - Question 60

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

JEE Main Practice Test- 29 - Question 61

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

Detailed Solution for JEE Main Practice Test- 29 - Question 61
Sum of n cubes is equal to the square (n+1) square by4
n sq .(n+1) square\4=220
n square.(n+1) square=4×220
here n square can be 4
(n+1) square cannot be equal to 220
Hence b option is correct.
JEE Main Practice Test- 29 - Question 62

If 'n' is a positive integer, then n3 + 2n is divisible by

JEE Main Practice Test- 29 - Question 63

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

JEE Main Practice Test- 29 - Question 64

The circle x2 + y2 + 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

JEE Main Practice Test- 29 - Question 65

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

JEE Main Practice Test- 29 - Question 66

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

JEE Main Practice Test- 29 - Question 67

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

JEE Main Practice Test- 29 - Question 68

The solution of y'- y = 1, y(0) = 1 is given by y (x)

Detailed Solution for JEE Main Practice Test- 29 - Question 68

JEE Main Practice Test- 29 - Question 69

At x=3, (d/dx)[|x-1|+|x-5|]=

JEE Main Practice Test- 29 - Question 70

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

JEE Main Practice Test- 29 - Question 71

Which of the following is not a statement ?

JEE Main Practice Test- 29 - Question 72

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): If k is odd, then kCr is maximum for r equal to
Reason(R): The number of combinations of n distinct objects taken r at a time is given by

JEE Main Practice Test- 29 - Question 73

Let E be the ellipse x2 / 9 + y2 / 4 = 1 and C be the circle x2 + y2 = 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

Detailed Solution for JEE Main Practice Test- 29 - Question 73

The given ellipse is [x2 / 9] + [y2 / 4] = 1. The value of the expression [x2 / 9] + [y2 / 4] – 1 is positive for x = 1, y = 2 and negative for x = 2, y = 1. Therefore, P lies outside E and Q lies inside E. The value of the expression x2 + y2 – 9 is negative for both the points P and Q. Therefore, P and Q both lie inside C. Hence, P lies inside C but outside E.

JEE Main Practice Test- 29 - Question 74

If A is a square matrix such that A2 = A, then det equals :

JEE Main Practice Test- 29 - Question 75

The line y=mx+c touches the parabola x2=4ay if

JEE Main Practice Test- 29 - Question 76

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

Detailed Solution for JEE Main Practice Test- 29 - Question 76
The no. is divisible by 5 iff it's unit digit is 0 or 5 but we have only 5 so for unit digit 1 way.
the no. is in b/w 3000&4000 so the no. start with 3 as 1 way
now we have 4 more digit which will be put in 4 and 3 ways to avoid repitition.
total no.is 1×4×3×1=12
JEE Main Practice Test- 29 - Question 77

In a Poisson distribution mean is 16, then S.D. is

JEE Main Practice Test- 29 - Question 78

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

JEE Main Practice Test- 29 - Question 79

The perpendicular distance of a line 12x+5y=7 from the origin is

JEE Main Practice Test- 29 - Question 80

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

Detailed Solution for JEE Main Practice Test- 29 - Question 80
JEE Main Practice Test- 29 - Question 81

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

JEE Main Practice Test- 29 - Question 82

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

JEE Main Practice Test- 29 - Question 83

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

JEE Main Practice Test- 29 - Question 84

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

JEE Main Practice Test- 29 - Question 85

JEE Main Practice Test- 29 - Question 86

The value of

JEE Main Practice Test- 29 - Question 87

In the following questions, 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): Sum of n AM's between a and b is
Reason (R): If Sn be the sum of n terms of an AP whose first term is a and last term is l, then Sn = n2n2(a + l).

JEE Main Practice Test- 29 - Question 88

If A and B are square matrices of equal degree, then which one is correct among the following ?

JEE Main Practice Test- 29 - Question 89

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

JEE Main Practice Test- 29 - Question 90

The product of n positive numbers is unity, then their sum is :

Detailed Solution for JEE Main Practice Test- 29 - Question 90

Let a1, a2, a3…an be the positive numbers.

Product => a1a2..an = 1

We know that AM ≥ GM

(a1+a2+…an)/n ≥ (a1a2..an)1/n

(a1+a2+…an)/n ≥ 1

(a1+a2+…an) ≥ n

So the sum is never less than n.

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