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# JEE Main Mock - 4 (Previous Pattern)

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## 90 Questions MCQ Test JEE Main & Advanced Mock Test Series | JEE Main Mock - 4 (Previous Pattern)

JEE Main Mock - 4 (Previous Pattern) for JEE 2022 is part of JEE Main & Advanced Mock Test Series preparation. The JEE Main Mock - 4 (Previous Pattern) questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Mock - 4 (Previous Pattern) MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Mock - 4 (Previous Pattern) below.
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JEE Main Mock - 4 (Previous Pattern) - Question 1

### 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 Mock - 4 (Previous Pattern) - Question 2

### The long wavelength limit of Lyman series is

JEE Main Mock - 4 (Previous Pattern) - Question 3

### 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 Mock - 4 (Previous Pattern) - Question 4

Which one of the following is not made of soft iron

JEE Main Mock - 4 (Previous Pattern) - Question 5

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 6
JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 7
JEE Main Mock - 4 (Previous Pattern) - Question 8

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 Mock - 4 (Previous Pattern) - Question 8 M(g+a)=250N So a=2.5 ms-²
JEE Main Mock - 4 (Previous Pattern) - Question 9

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

JEE Main Mock - 4 (Previous Pattern) - Question 10

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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 14

The function of the moderator in a nuclear reactor is

JEE Main Mock - 4 (Previous Pattern) - 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): 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 Mock - 4 (Previous Pattern) - 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): Speed of light in water is less than the speed in air.
Reason(R): Refractive index of water is greater than one .

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 19

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

JEE Main Mock - 4 (Previous Pattern) - Question 20

The energy density and pressure have

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - Question 20

'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 Mock - 4 (Previous Pattern) - Question 21

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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 23

A wavefront is an imaginary surface where

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 25

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

JEE Main Mock - 4 (Previous Pattern) - Question 26

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

JEE Main Mock - 4 (Previous Pattern) - Question 27

A tachometer is a device to measure

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 28
JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 31

Methanol is manufactured by

JEE Main Mock - 4 (Previous Pattern) - Question 32

1-Phenylethanol can be prepared by reaction of benzaldehyde with

JEE Main Mock - 4 (Previous Pattern) - Question 33

Pick out the unsaturated fatty acid from the following

JEE Main Mock - 4 (Previous Pattern) - Question 34

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

JEE Main Mock - 4 (Previous Pattern) - Question 35

The element with highest electron affinity among the halogens is

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - Question 35

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 Mock - 4 (Previous Pattern) - Question 36

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

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - Question 36
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 Mock - 4 (Previous Pattern) - Question 37

Variation of heat of reaction with temperature is known as

JEE Main Mock - 4 (Previous Pattern) - Question 38

The shape of cuprammonium ion is

JEE Main Mock - 4 (Previous Pattern) - Question 39

Dye test can be used to distinguish between

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 41

JEE Main Mock - 4 (Previous Pattern) - Question 42

The pH of 10 M HCl aqueous solution is

JEE Main Mock - 4 (Previous Pattern) - Question 43

The compound whose 0.1 M solutions is basic is

JEE Main Mock - 4 (Previous Pattern) - Question 44

The compound whose water solution has the highest pH is

JEE Main Mock - 4 (Previous Pattern) - Question 45

The dissociation constant is highest for

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 46

The order of decreasing ease of reaction with ammonia is

JEE Main Mock - 4 (Previous Pattern) - Question 47

Which is not the primary carbocation?

JEE Main Mock - 4 (Previous Pattern) - Question 48

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

JEE Main Mock - 4 (Previous Pattern) - Question 49

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

JEE Main Mock - 4 (Previous Pattern) - Question 50

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 52

An example of natural biopolymer is

JEE Main Mock - 4 (Previous Pattern) - Question 53

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

JEE Main Mock - 4 (Previous Pattern) - Question 54

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 56

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

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - Question 56

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 58

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

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - Question 58

For a second order reaction.
where a = b

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 59

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 61

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

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 62

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

JEE Main Mock - 4 (Previous Pattern) - Question 63

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 65

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

JEE Main Mock - 4 (Previous Pattern) - Question 66

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

JEE Main Mock - 4 (Previous Pattern) - Question 67

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

JEE Main Mock - 4 (Previous Pattern) - Question 68

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

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - Question 68

JEE Main Mock - 4 (Previous Pattern) - Question 69

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 71

Which of the following is not a statement ?

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 73

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): The solution of the differential equation
Reason(R): As the integrating factor of given differential equation is (1/y) .

JEE Main Mock - 4 (Previous Pattern) - Question 74

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

JEE Main Mock - 4 (Previous Pattern) - Question 75

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 Mock - 4 (Previous Pattern) - Question 75 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 Mock - 4 (Previous Pattern) - Question 76

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

JEE Main Mock - 4 (Previous Pattern) - Question 77

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 79

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

JEE Main Mock - 4 (Previous Pattern) - Question 80

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

JEE Main Mock - 4 (Previous Pattern) - Question 81

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

JEE Main Mock - 4 (Previous Pattern) - Question 82

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 Mock - 4 (Previous Pattern) - Question 82
JEE Main Mock - 4 (Previous Pattern) - Question 83

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 85

JEE Main Mock - 4 (Previous Pattern) - Question 86

The value of

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 88

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

JEE Main Mock - 4 (Previous Pattern) - 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 Mock - 4 (Previous Pattern) - Question 90

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

Detailed Solution for JEE Main Mock - 4 (Previous Pattern) - 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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2 videos|324 docs|160 tests