The ratio of radius of gyration of a solid sphere of mass $$M$$ and radius $$R$$ about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is:
1. $$5:2$$
2. $$3:5$$
3. $$5:3$$
4. $$2:5$$
Subtopic:  Moment of Inertia |
62%
From NCERT
NEET - 2023
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The angular acceleration of a body, moving along the circumference of a circle, is:
 1 along the axis of rotation 2 along the radius, away from centre 3 along the radius towards the centre 4 along the tangent to its position
Subtopic:  Rotational Motion: Kinematics |
From NCERT
NEET - 2023
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Two particles $$A$$ and $$B$$ initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of $$A$$ is $$v$$ and speed of $$B$$ is $$3v$$, the speed of center of mass is:
 1 $$2v$$ 2 zero 3 $$v$$ 4 $$4v$$
Subtopic:  Center of Mass |
69%
From NCERT
NEET - 2023
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A constant torque of $$100$$ N-m turns a wheel of moment of inertia $$300$$ kg-m2 about an axis passing through its centre. Starting from rest, its angular velocity after $$3$$ s is:
1. $$1$$ rad/s
2. $$5$$ rad/s
3. $$10$$ rad/s
4. $$15$$ rad/s
Subtopic:  Rotational Motion: Kinematics |
83%
From NCERT
NEET - 2023
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Two objects of mass $$10~ \text {kg}$$ and $$20~ \text{kg}$$ respectively are connected to the two ends of a rigid rod of length $$10~ \text m$$ with negligible mass. The distance of the center of mass of the system from the $$10 ~ \text{kg}$$ mass is:
 1 $$5~ \text m$$ 2 $$\frac{10}{3} \mathrm{~m}$$ 3 $$\frac{20}{3} \mathrm{~m}$$ 4 $$10~ \text m$$
Subtopic:  Center of Mass |
71%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh

The angular speed of a flywheel moving with uniform angular acceleration changes from $$1200$$ rpm to $$3120$$ rpm in $$16$$ s. The angular acceleration in rad/s² is:
1. $$104 \pi$$
2. $$2\pi$$
3. $$4\pi$$
4. $$12\pi$$
Subtopic:  Rotational Motion: Kinematics |
73%
From NCERT
NEET - 2022
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A shell of mass m is at rest initially. It explodes into three fragments having masses in the ratio $$2:2:1$$. If the fragments having equal masses fly off along mutually perpendicular directions with speed $$v,$$ the speed of the third (lighter) fragment is:
1. $$3 \sqrt{2} v$$
2. $$v$$
3. $$\sqrt{2} v$$
4. $$2 \sqrt{2} v$$
Subtopic:  Linear Momentum |
68%
From NCERT
NEET - 2022
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The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is:
1. $$1:\sqrt{2}$$
2. $$2:1$$
3. $$\sqrt{2}:1$$
4. $$4:1$$
Subtopic:  Moment of Inertia |
65%
From NCERT
NEET - 2022
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The ratio of the moments of inertia of two spheres about their diameter and having same mass and their radii in the ratio of $$1:2$$ is:
1. $$2:1$$
2. $$4:1$$
3. $$1:2$$
4. $$1:4$$

Subtopic:  Moment of Inertia |
80%
From NCERT
NEET - 2022
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A string is wrapped along the rim of a wheel of moment of inertia $$0.10$$ kg-m2 and radius $$10$$ cm. If the string is now pulled by a force $$10$$ N, then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after $$2$$ seconds is:
1. $$40$$ rad/s
2. $$80$$ rad/s
3. $$10$$ rad/s
4. $$20$$ rad/s

Subtopic:  Rotational Motion: Dynamics |
76%
From NCERT
NEET - 2022
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