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# Test Yourself | Mini Mock 3 for JEE 2021

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Question 1

The radius of gyration of a body about an axis at a distance of 6 cm from its centre of mass is 10 cm. Then, its radius of gyration about a parallel axis through its centre of mass will be

Question 2

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I0. Its moment of inertia about an axis passing through one of its ends and perpendicular its length is

Question 3

A particle starts to execute rotational motion from rest; such that the angular displacement is: What will be the angular acceleration after 2 seconds?

Question 4

A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed . Another disk of moment of inertia Ib is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed wf. The energy lost by the initially rotating disc due to friction is

Question 5

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity . If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity

Question 6

A body of mass M and radius R is rolling horizontally without slipping with speed v. It then rolls up a hill to a maximum height h. If h = 5v2/6g, what is the M.I. of the body?

Question 7

A body rolls down an inclined plane without slipping. The fraction of total energy associated with its rotation will be

Question 8

Two rotating bodies A and B of masses m and 2m with moments of inertia IA and IB(IB > IA) have equal kinetic energy of rotation. If LA and LB be their angular momenta respectively, then

Question 9

A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 rad- s-2 is produced in it due to the torque. Then, moment of inertia of the wheel is (g = 10 ms-2) Question 10

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with 8 ms–1 speed. If the third part flies off with 4 ms–1 speed, then its mass is :

Question 11

The energies E2 of two radiation are 25 eV and 50 eV respectively. The relation between their wavelenghs i.e., and will be

Question 12

What is the Bohr’s radius of 4th orbit of He+ in Å?

Question 13

The energy of radiation emitted when electron falls from n=3 to n=2 level in a hydrogen atom will be (RH =2.18 x 10-18Jatom-1 )

Question 14

Total vapour pressure of mixture of 1 mole of A ( = 150 torr) and 2 mole of B ( = 240 torr) is 200 torr. In this case:

Question 15

The molality of an aqueous solution of KI is 1 molal. Which of the following change will cause an increase in the vapour pressure of the solution?

Question 16

A solution of acetone in aniline

Question 17

Which will give only one product (excluding stereoisomer) when undergoing E2 reaction ?

Question 18

Which one of the following compounds undergoes E1 reaction most readly?

Question 19 Incorrect statement is :

Question 20

1moles of N2, 2moles O2 and 3moles of NO are injected into a 1L flask. What will be the concentration of N2, O2, NO at equilibrium? The equilibrium constant for the reaction is 45.9
N2 +O2⇌ 2NO

Question 21

NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation The initial concentration of N2O5 is 3.00 mol L–1 and it is 2.75 mol L–1 after 30 minutes.

The rate of formation of NO2 is:

Question 22

When NaCl is doped with 10-5 mole % of SrCl2, what is the no. of cationic vacancies?

Question 23

Which of the following is correct option

Question 24

The question has FOUR options. ONLY ONE of these four options is the correct answer.
Plutonium-239 has a decay constant of 2.880 x 10-5 yr-1. What percentage of a sample of Pu-239 remains after 2.100 x 104 years? (ln 1.5 = 0.4)

Question 25

A certain reaction is first order, and 540. seconds after initiation of the reaction, 32.5% of the reactant remains. What is the rate constant for this reaction?

Question 26

The bromination of acetone plat occurs in acid solution is represented by this equation.
CH3COCH3(aq)+ Br2(aq) CH3COCH2Br(aq) + H+(aq) + Br-(aq)
These kinetic data were obtained for given reaction concentrations.
 Initial concentrations, M Initial rate,  Ms-1 Based on these data, the rate equation is

Question 27

Which is the correct assumption of Langmuir isotherm?

Question 28

The stability of a lyophobic colloid is due to

Question 29

The Langmuir adsorption isotherm is deduced using the assumption :

Question 30

Milk is a colloid in which –
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