JEE Advanced 2022 Paper 1 · Physics · Rotational Motion · medium

Match each rigid body in List-I (each of mass m and radius R, rolling down a rough incline of angle θ without slipping) with the ratio of the…

Single correct option

Match each rigid body in List-I (each of mass

m

and radius

R

, rolling down a rough incline of angle

\theta

without slipping) with the ratio of the friction force on it to

mg\sin\theta

in List-II.

List-I: (P) solid sphere; (Q) thin hollow spherical shell; (R) solid cylinder; (S) thin ring.

List-II: (1)

1/3

; (2)

2/7

; (3)

1/2

; (4)

2/5

; (5)

3/7

Show answer and solution

Answer: (B) P→2, Q→4, R→1, S→3

With

I=kmR^2

a=g\sin\theta/(1+k)

and friction

f=mg\sin\theta-ma=mg\sin\theta\,\dfrac{k}{1+k}

. Solid sphere

k=2/5

f/(mg\sin\theta)=2/7

. Thin shell

k=2/3

2/5

. Solid cylinder

k=1/2

1/3

. Ring

k=1

1/2

. So P→2, Q→4, R→1, S→3.

Original question written in the JEE Advanced 2022 Paper 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake