JEE Main 2025 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2025, Shift 1, Physics Q33

Question 33 of 75 in this shift, Physics question 8 of 25, Section A.

A particle is subjected to two simple harmonic motions as :

x_1=\sqrt{7}\sin5t

cm and

x_2=2\sqrt{7}\sin\left(5t+\frac{\pi}{3}\right)

cm where

x

is displacement and

t

is time in seconds. The maximum acceleration of the particle is

x\times10^{-2}\ \mathrm{ms^{-2}}

. The value of

x

is :

(1) $25\sqrt{7}$
(2) $5\sqrt{7}$
(3)125
(4)175Official answer

Official answer

Option 4

NTA final key.

Chapter: Oscillations
Topic: SHM Equations
Idea tested: Collinear Superposition of SHMs

Same idea in other shifts

Asked 6× in all

10 Apr 2023, Shift 2 · Q32For a periodic motion represented by the equation $y = \sin \omega t + \cos \omega t$ the amplitude of the motion isEasySingle correct
25 Jul 2022, Shift 2 · Q57Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The…EasyNumerical value
3 Aug 2021, Shift 1 · Q9A sinusoidal wave $f_1(t) = 3\ \sin\ \omega\, t$ is superposed on another periodic wave $f_2(t)$ which is also oscillating with the same…MediumSingle correct
26 Aug 2021, Shift 2 · Q24Two simple harmonic motions are represented by the equations $x_1=5\sin\left(2\pi t+\frac{\pi}{4}\right)$ and…EasyNumerical value
27 Aug 2021, Shift 2 · Q27Two simple harmonic motion, are represented by the equations $y_1=10\sin\left(3\pi t+\frac{\pi}{3}\right)$ …EasyNumerical value

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.