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COMEDK Mock Test - 2 - JEE MCQ


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30 Questions MCQ Test - COMEDK Mock Test - 2

COMEDK Mock Test - 2 for JEE 2024 is part of JEE preparation. The COMEDK Mock Test - 2 questions and answers have been prepared according to the JEE exam syllabus.The COMEDK Mock Test - 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for COMEDK Mock Test - 2 below.
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COMEDK Mock Test - 2 - Question 1

A projectile is launched at an angle 'α' with the horizontal with a velocity 20 ms-1. After 10 s, its inclination with horizontal is 'β'. The value of tan β will be: (g = 10 ms-2)

Detailed Solution for COMEDK Mock Test - 2 - Question 1

COMEDK Mock Test - 2 - Question 2

Two masses m and m/2 are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k at the centre of mass of the rod-mass system (see figure). Because of torsional constant k, the restoring torque is τ = kθ for angular displacement θ. If the rod is rotated by θ0 and released, the tension in it when it passes through its mean position will be:

Detailed Solution for COMEDK Mock Test - 2 - Question 2

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COMEDK Mock Test - 2 - Question 3

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use g = 10 ms-2]

Detailed Solution for COMEDK Mock Test - 2 - Question 3

Let time taken to ascent be t1 and that to descent be t2.
Height will be same, so

COMEDK Mock Test - 2 - Question 4

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is:

Detailed Solution for COMEDK Mock Test - 2 - Question 4

N = mω2R

Given: m = 0.2 kg, T = 40 S, R = 0.2 m
Put these values in equation (1).
N = 9.859 × 10-4 N

COMEDK Mock Test - 2 - Question 5

A particle is projected upward from the surface of earth (radius = R) with a speed equal to the orbital speed of a satellite near the earth’s surface. The height to which it would rise is

Detailed Solution for COMEDK Mock Test - 2 - Question 5

  (orbital speed υ0 of a satellite)

Near the earth’s surface is equal to 1/√2
times the escape velocity of a particle on earth’s surface) Now from conservation of mechanical energy: Decrease in kinetic energy = increase in potential energy

COMEDK Mock Test - 2 - Question 6

A block of mass m is placed on a surface with a vertical cross-section given by y = x3/6. If the coefficient of friction is 0.5, then the maximum height above the ground at which the block can be placed without slipping is

Detailed Solution for COMEDK Mock Test - 2 - Question 6
Block is under limiting friction, so

μ = tan θ ... (i)

Equation of the surface, y = x3/6

From equations (i) and (ii), we get

COMEDK Mock Test - 2 - Question 7

One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27°C. The work done on the gas will be:

Detailed Solution for COMEDK Mock Test - 2 - Question 7

Work done in isothermal process on the gas,

COMEDK Mock Test - 2 - Question 8

A solid sphere of mass M and radius R is lying on a rough horizontal plane. A constant force F = 4Mg acts vertically at point P such that OP makes an angle of 60° with horizontal. Find the minimum value of coefficient of friction μμ so that sphere starts pure rolling.

Detailed Solution for COMEDK Mock Test - 2 - Question 8

Let friction force  be  f

Let  acceleration  of com = a

and angular acceleration about com = α   (clockwise)

For translation  motion, 

f = ma .........(1)

for Rotational Motion about com  

 τcom = Icomα

Also,  condition for  pure  rolling a = αR       .............(3)     

from     (1),(2)  and  (3),

For  minimum  friction  coefficient

COMEDK Mock Test - 2 - Question 9

What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18 L/min to 0.48 L/min? The radius of the tap and viscosity of water are 0.5 cm and 10-3 Pa s, respectively.
(Density of water: 103 kg/m3)

Detailed Solution for COMEDK Mock Test - 2 - Question 9

The nature of flow is determined by Reynolds number.

If Re < 1000 → flow is steady
1000 < Re < 2000 → flow becomes unsteady
Re > 2000 → flow is turbulent

COMEDK Mock Test - 2 - Question 10

An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiation coming from this bulb? Consider this bulb as a point source with 3.5% efficiency.

Detailed Solution for COMEDK Mock Test - 2 - Question 10

COMEDK Mock Test - 2 - Question 11

A spring of spring constant 5 × 103 is stretched initially by 5 cm from the unstretched position. The work required to stretch it further by another 5 cm is

Detailed Solution for COMEDK Mock Test - 2 - Question 11

Spring constant, k = 5 × 103 N/m
The work required to stretch the spring by the displacement x is W = 1/2 kx
When the spring is stretched by 5 cm, work done is W1 = 1/2 × (5 × 103N/m) × (5 × 10-2m)2
W1 = 6.25J
When the spring is again stretched further by 5 cm, the net displacement of the spring from its equilibrium position is
x' = 5 cm, +5 cm = 10 cm
Thus, the work required to stretch it further by an additional 5 cm is W2 = 1/2 x (5 × 103N/m) × (10 × 10-2m)
⇒ W2 = 25J
So, the extra work required to stretch the spring by an additional 
5 cmis ΔW = W- W1 ⇒ ΔW = 25J - 6.25J ⇒ ΔW = 18.75J or 18.75 N - m

COMEDK Mock Test - 2 - Question 12

When ethylbromide and n-propyl bromide is allowed to react with sodium, in ether, they form

COMEDK Mock Test - 2 - Question 13

Tollen's reagent is

COMEDK Mock Test - 2 - Question 14

Which of the following favours the backward reaction in a chemical equilibrium?

COMEDK Mock Test - 2 - Question 15

What is the main reason for the fact that carboxylic acids can undergo ionization?

COMEDK Mock Test - 2 - Question 16

A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at temperature T2. Work done by the engine is (Q1 + Q2). This data

Detailed Solution for COMEDK Mock Test - 2 - Question 16

It does not go against first law of thermodynamics .
However it violates the 2nd law of thermodynamics.

COMEDK Mock Test - 2 - Question 17

A drug that is antipyretic as well as analgesic is

COMEDK Mock Test - 2 - Question 18

The prefixes sys and anti are used to denote

COMEDK Mock Test - 2 - Question 19

In the presence of acid, the hydrolysis of methyl cyanide gives

COMEDK Mock Test - 2 - Question 20

The hormone which controls the process like burning of fats, proteins and carbohydrates to liberate energy in the body is

Detailed Solution for COMEDK Mock Test - 2 - Question 20

Thyroxine is a hormone secreted by thyroid gland.
This hormone controls various biochemical reactions involving burning of proteins carbohydrates, fats to release energy.

COMEDK Mock Test - 2 - Question 21

Wt. of 22.4 litres of Cl₂ gas at STP is

COMEDK Mock Test - 2 - Question 22

Tetrabromomethane on treatment with Zn gives

COMEDK Mock Test - 2 - Question 23

The chemical equilibrium of a reversible reaction is not influenced by

COMEDK Mock Test - 2 - Question 24

Which of the following is produced by reaction of RCN in sodium and alcohol ?

COMEDK Mock Test - 2 - Question 25

The range of the function f(x) = [x] − x, where [x] denotes the greatest integer ≤ x, is

Detailed Solution for COMEDK Mock Test - 2 - Question 25

f(x) = [x] - x
= x - {x} - x
= -{x}
Range of {x} = [0, 1)
Range of -{x} = (-1, 0]

COMEDK Mock Test - 2 - Question 26

Detailed Solution for COMEDK Mock Test - 2 - Question 26

COMEDK Mock Test - 2 - Question 27

Let y = | x | + | x − 2 | . Then dy/dx at x = 2 is

COMEDK Mock Test - 2 - Question 28

If f: R → R defined by  is continuous function, then

COMEDK Mock Test - 2 - Question 29

Detailed Solution for COMEDK Mock Test - 2 - Question 29

COMEDK Mock Test - 2 - Question 30

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