MCQ
Angular momentum and angular velocity for a rolling sphere of radius $R$ are related by the formula:
  • $\text{L}=\text{I}\omega:\text{I}$ is the moment of inertia of the sphere.
  • B
    $\text{L}=\text{I}\omega^2\text{I}$ is the moment of inertia of the sphere.
  • C
    $\text{L}=\frac{\text{I}}{\omega},\text{I}$ is the moment of inertia of the sphere.
  • D
    $\text{L}=\text{I}\omega−\text{f}×\text{R};\text{f}$ is the frictional force and $R$ is the radius of the sphere and $I$ is the moment of inertia of the sphere.

Answer

Correct option: A.
$\text{L}=\text{I}\omega:\text{I}$ is the moment of inertia of the sphere.
Angular momentum is related to angular velocity using $\text{L}=\text{I}\omega:\text{I}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A body falling for $2 \,seconds$ covers a distance $S$ equal to that covered in next second. Taking $g = 10\,m/{s^2},\,S =..........m$
$A$ particle starts from the point $(0m, 8m)$ and moves with uniform velocity of $3\, \hat i \,m/s$. After $5$ seconds, the angular velocity of the particle about the origin will be :
A sound source is moving towards a stationary listener with $\frac{1}{10}$ of the speed of sound. The ratio of apparent to real frequency is:
The centre of mass of system of particles does not depend on
A body is moving on a circle of radius $80 \,m$ with a speed $20 \,m / s$ which is decreasing at the rate $5 \,m / s ^2$ at an instant. The angle made by its acceleration with its velocity is ..........
Consider two identical springs each of spring constant $k$ and negligible mass compared to the mass $M$ as shown. Fig. $1$ shows one of them and Fig. $2$ shows their series combination. The ratios of time period of oscillation of the two $SHM$ is $\frac{ T _{ b }}{ T _{ a }}=\sqrt{ x },$ where value of $x$ is

(Round off to the Nearest Integer)

A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant
The ranges and heights for two projectiles projected with the same initial velocity at angles $42^{\circ}$ and $48^{\circ}$ with the horizontal are ${R}_{1}, {R}_{2}$ and ${H}_{1}$, ${H}_{2}$ respectively. Choose the correct option:
At temperatures close to $0\ K$ , the heat capacity $C$ of a certain solid is related to its temperature $T$ by the equation $C = aT^3$ , where a is a constant characteristic of the solid. Heat is supplied to the solid at a steady rate. Which graph best represents the variation of its temperature $T$ with time $t$ ?
If a cavity is made inside a solid sphere, Then the gravitational field inside the cavity is