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JEE Main 20238 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2023 · 8 April · Morning Shift · Physics · Rotational Motion

The moment of inertia of a semicircular ring about an axis, passing...

The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is1xMR2\dfrac{1}{x}{MR}^{2}, where RR is the radius and MM is the mass of the semicircular ring. The value of xx will be _______.

Correct answer

0

Step-by-step solution

The moment of inertia of a semicircular ring about a line perpendicular to the plane of the ring and passing through its centre is given asII=MR2= M{R}^{2}, where mm and RR are the mass and radius of the ring. Comparing the given value

.I=MR2=1xMR2I = {MR}^{2} = \dfrac{1}{x}M{R}^{2}

⇒x=1⇒ x = 1

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