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COMEDK Mock Test - 8 - JEE MCQ


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30 Questions MCQ Test COMEDK Mock Test Series - COMEDK Mock Test - 8

COMEDK Mock Test - 8 for JEE 2025 is part of COMEDK Mock Test Series preparation. The COMEDK Mock Test - 8 questions and answers have been prepared according to the JEE exam syllabus.The COMEDK Mock Test - 8 MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for COMEDK Mock Test - 8 below.
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COMEDK Mock Test - 8 - Question 1

Two massless springs with spring constants 2k and 9k carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then the ratio of their respective amplitude will be

Detailed Solution for COMEDK Mock Test - 8 - Question 1

COMEDK Mock Test - 8 - Question 2

The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assume that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside the block. The value of x is:

Detailed Solution for COMEDK Mock Test - 8 - Question 2

COMEDK Mock Test - 8 - Question 3

The bulk modulus of a liquid is 3 × 1010 Nm-2. The pressure required to reduce the volume of liquid by 2% is

Detailed Solution for COMEDK Mock Test - 8 - Question 3

∵ 
⇒ ΔP = 3 × 1010 × (0.02)
= 6 × 108 N/m2

COMEDK Mock Test - 8 - Question 4

One mole of ideal gas goes through process then change in temperature of the gas when volume changes from V = 1 m3 to 2 m3 is:

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COMEDK Mock Test - 8 - Question 5

A piece of copper having a rectangular cross-section of 15.2 mm × 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting strain? Take Young's modulus of copper as 42 × 109Pa

Detailed Solution for COMEDK Mock Test - 8 - Question 5

Given Data,
Length of the piece of copper = l = 19.1 mm = 19.1 × 10-3m
Breadth of the piece of copper = b = 15.2 mm = 15.2× 10-3m
Tension force applied on the piece of cooper, F = 44500N
Area of rectangular cross section of copper piece,
Area = l× b
⇒ Area = (19.1 × 10-3m) × (15.2× 10-3m)
⇒ Area = 2.9 × 10-4 m2
Modulus of elasticity of copper from standard list, η = 42× 109 N/m2
By definition, Modulus of elasticity, η = stress/strain

⇒ Strain = F/Aη

⇒ Strain = 3.65 × 10-3
Hence, the resulting strain is 3.65 × 10-3

COMEDK Mock Test - 8 - Question 6

Two radioactive substances A and B have decay constants 5λ and λ, respectively. At t = 0, a sample has the same number of the two nuclei. The time taken for the ratio of the number of nuclei to become (1/e)will be:

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COMEDK Mock Test - 8 - Question 7

A planet of mass M is revolving around sun in an elliptical orbit. If dA is the area swept in a time dt, angular momentum can be expressed as

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COMEDK Mock Test - 8 - Question 8

Four equal masses m each are placed at the corners of a square of length (l) as shown in the figure. The moment of inertia of the system about an axis passing through A and parallel to DB would be:

Detailed Solution for COMEDK Mock Test - 8 - Question 8

Moment of inertia of point mass = mass × (perpendicular distance from axis)2

Moment of inertia

COMEDK Mock Test - 8 - Question 9

An insulator plate is passed through the plates of a capacitor as shown. The current

Detailed Solution for COMEDK Mock Test - 8 - Question 9

As insulator plate is passed between the plates of the capacitor, its capacity increases first and then decreases as the plate slips out. As a result, positive charge on plate A increase first and then decreases, hence, current in outer circuit flows from B to A and then from A to B.

COMEDK Mock Test - 8 - Question 10

Two cars are moving in same direction with speed of 30 kmph. They are separated by a distance of 5 km. What is the speed of a car moving in opposite direction if it meets the two cars at an interval of 4 min?   

Detailed Solution for COMEDK Mock Test - 8 - Question 10

Lets say the speed of second car be v. Now with respect to car 1, speed of car 2 is v - 30. Now if the cross each other at just after 4 min then the distance traveled by car 2 relative to car 1 is (v -30) x 4/60 and we know the distance travelled relatively is 5km
Thus we get 
(v -30) x 4/60 = 5
V = 300/4 - 30
= 45 km/h

COMEDK Mock Test - 8 - Question 11

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 104 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to

Detailed Solution for COMEDK Mock Test - 8 - Question 11


⇒ T2 = 5.15 × 103 N

COMEDK Mock Test - 8 - Question 12

In an LCR circuit as shown below, both switches are open initially. Later, switch S1 is closed and S2 is kept open. (q is charge on the capacitor and τ = RC is capacitive time constant). Which of the following statements is correct?

Detailed Solution for COMEDK Mock Test - 8 - Question 12

Switch S1 is closed and switch S2 is kept open. Now, capacitor is charging through a resistor R.

Charge on a capacitor at any time t,

q = q0(1 - e-t/τ)

q = CV(1 - e-t/τ) [As q0 = CV]

At t = τ/2, q = CV(1 - e-τ/2τ) = CV(1 - e-1/2)

At t = τ, q = CV(1 - e-τ/τ) = CV(1 - e-1)

At t = 2τ, q = CV(1 - e-2τ/τ) = CV(1 - e-2)

COMEDK Mock Test - 8 - Question 13


As shown in the given figure, a bob of mass m is tied by a massless string whose other end portion is wound on a fly wheel (disc) of radius r and mass m. When released from rest, the bob starts falling vertically. When it has covered a distance of h, the angular speed of the wheel will be

Detailed Solution for COMEDK Mock Test - 8 - Question 13

mg - T = ma

COMEDK Mock Test - 8 - Question 14

In the above reaction , product P is

COMEDK Mock Test - 8 - Question 15

The enthalpy change of a reaction does not depend on

COMEDK Mock Test - 8 - Question 16

Structural formula of ethanenitrile is

COMEDK Mock Test - 8 - Question 17

When dilute H2SO4 is electrolysed at room temperature between Pt electrodes. The substance liberated at anode is

COMEDK Mock Test - 8 - Question 18

Consider the reaction:
P + 2Q → R
When concentration of Q alone was tripled, the half-life did not change. When the concentration of P alone was made four times, the rate increased two times. The unit of rate constant for this reaction would be

Detailed Solution for COMEDK Mock Test - 8 - Question 18

For the reaction: P + 2Q → R, when concentration of 'Q' is doubled, the half-life does not change, hence reaction is first-order with respect to 'Q'.
This is because for the first order reaction, rate constant is independent from initial concentration of the reactant.
When the concentration of 'P' is made four times, the rate of reaction becomes double. It means the reaction is half-order with respect to 'P'.
Hence, the rate law expression is:

Overall order = 1 + 1/2 = 3/2
Units of the rate constant = (mol L-1)(1 - n) s-1
So, unit of rate constant is L1/2 mol-1/2 s-1.

COMEDK Mock Test - 8 - Question 19

For a hypothetical reaction A → B, the activation energy for forward and backward reactions are 19 kJ/mol and 9 kJ/mol respectively. The heat of reaction is

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COMEDK Mock Test - 8 - Question 20

Tranquilizer among the following

Detailed Solution for COMEDK Mock Test - 8 - Question 20

Iproniazid is a tranquilizer. These are the classes of chemical compounds used for the treatment of stress and mild or severe mental diseases. These form an essential component of sleeping pills. Seldane is a antihistamine. Veronal is a derivative of barbituric acid and paracetamol is a non-narcotic analgesic.

COMEDK Mock Test - 8 - Question 21

A and B are square matrices of the same order. Which is correct?

COMEDK Mock Test - 8 - Question 22

If A and B are two matrices such that AB=B and BA=A, then A2+B2=

COMEDK Mock Test - 8 - Question 23

In three dimensional space, the equation 3y+4z=0 represents

COMEDK Mock Test - 8 - Question 24

The curve represented by Im (z2) = K where K is a non-zero real number is

COMEDK Mock Test - 8 - Question 25

COMEDK Mock Test - 8 - Question 26

If xy=e(x-y), (dy/dx)=

COMEDK Mock Test - 8 - Question 27

∫cos√x dx=

COMEDK Mock Test - 8 - Question 28

The system of equations
2x + 2y - 3z - 1 = 0
4x + 4y + z -2 = 0
6x + 6y - z -3 = 0
has-

COMEDK Mock Test - 8 - Question 29

The number of roots of the equation |x|2  - 7|x|+12=0 is

COMEDK Mock Test - 8 - Question 30

If a,b,c are position vectors of vertices ABC, then the position vector of a centroid of ∆ABC is

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