A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $$v$$ in the direction shown, which one of the following options is correct ($$P$$ and $$Q$$ are any highest and lowest points on the wheel, respectively)?

 1 Point $$P$$ moves faster than point $$Q$$. 2 Both the points $$P$$ and $$Q$$ move with equal speed. 3 Point $$P$$ has zero speed. 4 Point $$P$$ moves slower than point $$Q$$.
Subtopic:  Rolling Motion (OLD NCERT) |
52%
From NCERT
NEET - 2024
Hints

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is $$2400 ~\text{g cm}^2.$$ The length of the $$400~\text{g}$$ rod is nearly:
 1 $$17.5~\text{cm}$$ 2 $$20.7~\text{cm}$$ 3 $$72.0~\text{cm}$$ 4 $$8.5~\text{cm}$$
Subtopic:  Moment of Inertia |
59%
From NCERT
NEET - 2024
Hints

Consider a thin circular ring (A), a circular disc (B), a hollow Cylinder (C) and a solid cylinder (D) of the same radius R and of same mass:
 (A) (B) (C) (D)
If $$I_A, I_B, I_C$$ and $$I_D$$ are their moments of inertia about the axis shown, then:
Choose the correct answer from the options given below:
 1 $${I}_A={I}_C~ \text{and} ~2{I}_B={I}_D$$ 2 $$I_A=2 I_B~ \text{and} ~2 I_C=I_D$$ 3 $$2 I_A=I_C~ \text{and} ~I_B=2 I_D$$ 4 $${I}_{{A}}={I}_B={I}_C=2 {I}_{{D}}$$
Subtopic:  Moment of Inertia |
56%
From NCERT
NEET - 2024
Hints

A body of mass $$6~\text{kg}$$ is moving from its initial position $$A$$ to the next position $$B$$ as shown in figure. From $$A$$ to $$B$$, the value of momentum of the body is: (in SI unit)

1. $$24$$
2. $$12$$
3. $$8$$
4. $$6$$
Subtopic:  Linear Momentum |
56%
From NCERT
NEET - 2024
Hints

The radius of gyration of a solid sphere of mass $$5~\text{kg}$$ about $$XY$$ is $$5~\text m$$ as shown in the figure. The radius of the sphere is $$\frac{5x}{\sqrt{7}}~\text m,$$then the value of $$x$$ is:

1. $$5$$
2. $$\sqrt{2}$$
3. $$\sqrt{3}$$
4. $$\sqrt{5}$$

Subtopic:  Moment of Inertia |
68%
From NCERT
NEET - 2024
Hints

Let $$\omega_{1},\omega_{2}$$ and $$\omega_{3}$$ be the angular speed of the second hand, minute hand, and hour hand of a smoothly running analog clock, respectively. If $$x_{1},x_{2}$$ and $$x_{3}$$ are their respective angular distance in $$1$$ minute then the factor which remains constant $$(k)$$ is:
1. $$\frac{\omega_1}{x_1}\text=\frac{\omega_2}{x_2}\text=\frac{\omega_3}{x_3}\text={k}$$
2. $$\omega_{1}x_{1}\text=\omega_{2}x_{2}\text=\omega_{3}x_{3}\text={k}$$
3. $$\omega_{1}x_{1}^{2}\text=\omega_{2}x_{2}^{2}\text=\omega_{3}x_{3}^{2}\text={k}$$
4. $$\omega_{1}^{2}x_{1}\text=\omega_{2}^{2}x_{2}\text=\omega_{3}^{2}x_{3}\text={k}$$
Subtopic:  Rotational Motion: Kinematics |
51%
From NCERT
NEET - 2024
Hints

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
Hints

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
Hints

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 the centre-of-mass will be:
1. $$2v$$
2. zero
3. $$v$$
4. $$4v$$
Subtopic:  Center of Mass |
68%
From NCERT
NEET - 2023
Hints

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 |
80%
From NCERT
NEET - 2023