JEE Main 2022 (Online) 28th June Morning Shift | Rotational Motion Question 24 | Physics

JEE Main 2022 (Online) 28th June Morning Shift

MCQ (Single Correct Answer)

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

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

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

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

JEE Main 2022 (Online) 27th June Evening Shift

MCQ (Single Correct Answer)

-1

When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is :

19.6 m

29.4 m

39.2 m

73.5 m

JEE Main 2022 (Online) 27th June Evening Shift

MCQ (Single Correct Answer)

-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 :

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

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

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

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

JEE Main 2022 (Online) 26th June Evening Shift

MCQ (Single Correct Answer)

-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

$${2 \over 5}$$

$${2 \over 7}$$

$${1 \over 5}$$

$${7 \over 10}$$

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