JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 29 June 2022, Shift 1, Physics Q46

Question 46 of 90 in this shift, Physics question 16 of 30, Section A.

A longitudinal wave is represented by

x = 10\sin 2\pi\left(nt - \frac{x}{\lambda}\right)

cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :

(1) $2\pi$
(2) $5\pi$ Official answer
(3) $\pi$
(4) $\frac{5\pi}{2}$

Official answer

Option 2

NTA final key (2022 Session 1).

Chapter: Waves
Topic: Waves on Strings
Idea tested: Particle Velocity vs Wave Velocity

Same idea in other shifts

Asked 3× in all

2 Apr 2026, Shift 1 · Q35The equation of a plane progressive wave is given by $y=5\cos\pi\left(200\,t-\frac{x}{150}\right)$ where $x$ and $y$ are in cm and $t$ is…EasySingle correct
7 Apr 2025, Shift 2 · Q35The equation of a wave travelling on a string is $y=\sin[20\pi x+10\pi t]$ , where $x$ and t are distance and time in SI units. The minimum…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.