What is the moment of inertia of a solid sphere of mass M and radius R about its diameter?

A. 2/5 MR^2 — The moment of inertia for a solid sphere about its central axis or diameter is a standard result derived from integration. The value is defined as two-fifths times mass times radius squared.

JEE Advanced · PhysicsEasy

$What is the moment of inertia I of a solid sphere of mass M and radius R about its diameter?$

A. $2/5 M R^{2}$
B. $2/3 M R^{2}$
C. $1/2 M R^{2}$
D. $M R^{2}$

Show correct answer & step-by-step solution

Correct answer: A — $2/5 M R^{2}$

Solution

The moment of inertia for a solid sphere about its diameter is a standard result given by I = \frac{2}{5} M R^{2} .

Attempt this question & track your score

Attempt & Track Free →

More Rotational Motion practice questions

$A particle is moving in a circle of radius 2 meters with a constant angular velocity of 3 radians per second. What is th$
$A torque of 10 Newton meters is applied to a body with a moment of inertia of 2 kilogram meters squared. What is the ang$
$If the angular velocity of a rotating body increases from 2 radians per second to 8 radians per second in 3 seconds, wha$
$Which of the following is the correct unit for angular momentum?$
$A solid sphere of mass M and radius R rolls without slipping on a horizontal surface with a linear velocity v. What is t$
$A uniform rod of length Land mass M is pivoted at one end and allowed to swing in a vertical plane. What is the angular$
$A particle of mass m moves along a line y = d with constant velocity v. What is the angular momentum of the particle abo$
$A disc of radius R and mass M is rotating with angular velocity omega. A second identical disc is dropped coaxially onto$
$A thin circular ring of mass M and radius R is rotating about its axis with angular velocity omega. What is the torque r$
$A uniform solid sphere of mass M and radius R is projected with a velocity v0 and an angular velocity omega0 on a rough$
$A thin uniform rod of mass M and length L is hinged at one end and released from a horizontal position. When the rod mak$
$A particle of mass m is attached to a light string of length land is moving in a vertical circle. If the tension in the$

View all Rotational Motion questions →