JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 January 2024, Shift 2, Physics Q35

Question 35 of 90 in this shift, Physics question 5 of 30, Section A.

A body of mass 2 kg begins to move under the action of a time dependent force given by

\vec{F}=\left(6t\,\hat{i}+6t^2\,\hat{j}\right)

N. The power developed by the force at the time

t

is given by:

(1) $(6t^4+9t^5)$ W
(2) $(9t^5+6t^3)$ W
(3) $(3t^3+6t^5)$ W
(4) $(9t^3+6t^5)$ WOfficial answer

Official answer

Option 4

NTA final key.

Chapter: Work, Energy and Power
Topic: Power
Idea tested: 3D Vector Calculation of Power

Same idea in other shifts

Asked 3× in all

4 Apr 2026, Shift 1 · Q49A body of mass $2$ kg begins to move under the influence of time dependent force $\vec{F}=\left(2t\,\hat{i}+6t^2\,\hat{j}\right)$ N, where…MediumNumerical value
7 Apr 2025, Shift 1 · Q28An object of mass 1000 g experiences a time dependent force $\vec{F} = \left(2t\,\hat{i} + 3t^2\,\hat{j}\right)\mathrm{N}$ . The power…MediumSingle correct

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 42 of the 174 JEE Main shifts held from 2017 to 2026.