A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere ?

Question

A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere ? (A) Angular momentum (B) Angular velocity (C) Rotational kinetic energy (D) Moment of inertia

Tardigrade Admin · Accepted Answer

τex = 0 So, (dL/dt) = 0 i.e. L = constant So angular momentum remains constant.

Q. A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere ?

Angular momentum

Angular velocity

Rotational kinetic energy

Moment of inertia

$τ_{e x} = 0$
So, $\frac{d L}{d t} = 0$
i.e. $L =$ constant
So angular momentum remains constant.

Q. A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere ?

Angular momentum

Angular velocity

Rotational kinetic energy

Moment of inertia

τex​=0 So, dtdL​=0 i.e. L= constant So angular momentum remains constant.

$τ_{e x} = 0$
So, $\frac{d L}{d t} = 0$
i.e. $L =$ constant
So angular momentum remains constant.