JEE Main 2022 · 28 Jun · Shift 1 · Physics Q34

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PhysicsList match+4 / -1Question 34 of 90

Match List-I with List-II

Choose the correct answer from the options given below :

List - I

A
Moment of inertia of solid sphere of radius R about any tangent.
B
Moment of inertia of hollow sphere of radius (R) about any tangent.
C
Moment of inertia of circular ring of radius (R) about its diameter.
D
Moment of inertia of circular disc of radius (R) about any diameter.

List - II

I
$\dfrac53MR^2$
II
$\dfrac75MR^2$
III
$\dfrac14MR^2$
IV
$\dfrac12MR^2$

A-II, B-I, C-IV, D-III

A-I, B-II, C-IV, D-III

A-II, B-I, C-III, D-IV

A-I, B-II, C-III, D-IV

Answer and worked solution

Official answer: A

Parallel axis theorem. Solid sphere: $\frac25+1=\frac75$ (II). Hollow sphere: $\frac23+1=\frac53$ (I). Ring about a diameter: $\frac12$ (IV). Disc about a diameter: $\frac14$ (III).

(A)

Topics:Parallel and perpendicular axis theorems Moment of inertia

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JEE Main 2022 · 28 Jun · Shift 1, Physics question 34