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JEE Main 18 March 2021, Shift 2, Physics Q6

Question 6 of 90 in this shift, Physics question 6 of 30, Section A.

Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the centre is :

(1) $\frac{ML^2}{\pi^2}$ Official answer
(2) $\frac{1}{2}\frac{ML^2}{\pi^2}$
(3) $\frac{1}{4}\frac{ML^2}{\pi^2}$
(4) $\frac{2}{5}\frac{ML^2}{\pi^2}$

Official answer

Option 1

NTA final key.

Chapter: System of Particles and Rotational Motion
Topic: Moment of Inertia
Idea tested: MOI Change by Bending a Rod

JEE Main 18 March 2021, Shift 2, Physics Q6

Same idea in other shifts