JEE Main 2023 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 10 April 2023, Shift 2, Physics Q32

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

For a periodic motion represented by the equation

y = \sin \omega t + \cos \omega t

the amplitude of the motion is

(1) $0.5$
(2) $1$
(3) $\sqrt{2}$ Official answer
(4) $2$

Official answer

Option 3

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
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.