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 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 ?
Updated On: Jun 11, 2026
- Angular momentum
- Angular velocity
- Rotational kinetic energy
- Moment of inertia
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
$\tau_{ex} = 0 $
So, $\frac{dL}{dt} = 0 $
i.e. $L = $ constant
So angular momentum remains constant.
So, $\frac{dL}{dt} = 0 $
i.e. $L = $ constant
So angular momentum remains constant.
Was this answer helpful?
0
0
Top NEET Physics Questions
- A coil of inductive reactance $31\, \Omega$ has a resistance of 8 $\Omega$. It is placed in series with a condenser of capacitative reactance $25 \,\Omega$. The combination is connected to an a.c. source of 110 V. The power factor of the circuit is :-
- In an a.c. circuit with phase voltage V and current I, the power dissipated is
- A bubble in glass slab $ (\mu = 1.5) $ when viewed from one side appears at 5 cm and 2 cm from other side, then thickness of slab is
- A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. If the distance between parallel walls is 'd' then required focal length of lens placed in between the walls is : -
- A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will
View More Questions
Top NEET System of Particles & Rotational Motion Questions
- (1) Centre of gravity of a body is the point at which the weight of the body acts. (2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius. (3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its centre of gravity. (4) The radius of gyration of any body rotating about an axis is the length of the perpendicular drawn from the centre of gravity of the body to the axis. Which one of the following pairs of statements is correct?
- A solid sphere of mass $m$ and radius $R$ is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation $(E_{\text{sphere}} / E_{\text{cylinder}})$ Will be
- Two rotating bodies $A$ and $B$ of masses $m$ and $2m$ with momenta of inertia $I_A$ and $I_B (I_B > I_A)$ have equal kinetic energy of rotation. If $L_A$ and $L_B$ be their angular momenta respectively, then -
- A light rod of length $l$ has two masses $m_1$ and $m_2$ attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is -
- A solid cylinder of mass $3\, kg$ is rolling on a horizontal surface with velocity $4\, ms^{-1}$. It collides with a horizontal spring of force constant $200\, N\, m^{-1}$. The maximum compression produced in the spring will be
View More Questions
Top NEET Questions
- A coil of inductive reactance $31\, \Omega$ has a resistance of 8 $\Omega$. It is placed in series with a condenser of capacitative reactance $25 \,\Omega$. The combination is connected to an a.c. source of 110 V. The power factor of the circuit is :-
- In an a.c. circuit with phase voltage V and current I, the power dissipated is
- A bubble in glass slab $ (\mu = 1.5) $ when viewed from one side appears at 5 cm and 2 cm from other side, then thickness of slab is
- A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. If the distance between parallel walls is 'd' then required focal length of lens placed in between the walls is : -
- A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will
View More Questions