JEE Main 2021 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 26 August 2021, Shift 2, Physics Q24

Question 24 of 90 in this shift, Physics question 24 of 30, Section B.

Two simple harmonic motions are represented by the equations

x_1=5\sin\left(2\pi t+\frac{\pi}{4}\right)

and

x_2=5\sqrt{2}(\sin2\pi t+\cos2\pi t)

. The amplitude of second motion is __________ times the amplitude in first motion.

Official answer

NTA final key.

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

Same idea in other shifts

Asked 6× in all

2 Apr 2025, Shift 1 · Q33A particle is subjected to two simple harmonic motions as : $x_1=\sqrt{7}\sin5t$ cm and $x_2=2\sqrt{7}\sin\left(5t+\frac{\pi}{3}\right)$ …MediumSingle correct
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
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.