A particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration ($a$) is varying with time $t$ as $a = k^2rt^2$, where $k$ is a constant. The power delivered to the particle by the force acting on it is given as

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 28 June 2022, Shift 1, Physics Q32

Question 32 of 90 in this shift, Physics question 2 of 30, Section A.

A particle of mass

m

is moving in a circular path of constant radius

r

such that its centripetal acceleration (

a

) is varying with time

t

a = k^2rt^2

, where

k

is a constant. The power delivered to the particle by the force acting on it is given as

(1)zero
(2) $mk^2r^2t^2$
(3) $mk^2r^2t$ Official answer
(4) $mk^2rt$

Official answer

Option 3

NTA final key.

Chapter: Work, Energy and Power
Topic: Power
Idea tested: Power in Non-Uniform Circular Motion

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.