JEE Main 2022 (Online) 28th June Morning Shift | Rotational Motion Question 86 | Physics

1

JEE Main 2022 (Online) 28th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

Match List-I with List-II

	List-I		List-II
(A)	Moment of inertia of solid sphere of radius R about any tangent.	(I)	$${5 \over 3}M{R^2}$$
(B)	Moment of inertia of hollow sphere of radius (R) about any tangent.	(II)	$${7 \over 5}M{R^2}$$
(C)	Moment of inertia of circular ring of radius (R) about its diameter.	(III)	$${1 \over 4}M{R^2}$$
(D)	Moment of inertia of circular disc of radius (R) about any diameter.	(IV)	$${1 \over 2}M{R^2}$$

Choose the correct answer from the options given below :

A

A - II, B - I, C - IV, D - III

B

A - I, B - II, C - IV, D - III

C

A - II, B - I, C - III, D - IV

D

A - I, B - II, C - III, D - IV

2

JEE Main 2022 (Online) 27th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

One end of a massless spring of spring constant k and natural length l₀ is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity $$\omega$$ about an axis passing through fixed end, then the elongation of the spring will be :

A

$${{k - m{\omega ^2}{l_0}} \over {m{\omega ^2}}}$$

B

$${{m{\omega ^2}{l_0}} \over {k + m{\omega ^2}}}$$

C

$${{m{\omega ^2}{l_0}} \over {k - m{\omega ^2}}}$$

D

$${{k + m{\omega ^2}{l_0}} \over {m{\omega ^2}}}$$

3

JEE Main 2022 (Online) 26th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is

A

$${2 \over 5}$$

B

$${2 \over 7}$$

C

$${1 \over 5}$$

D

$${7 \over 10}$$

4

JEE Main 2022 (Online) 26th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads^$$-$$1 in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rads^$$-$$1).

A

$${M \over {(M + m)}}$$

B

$${{(M + 2m)} \over {2M}}$$

C

$${{2M} \over {(M + 2m)}}$$

D

$${{2(M + 2m)} \over M}$$