JEE Main 2022 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 24 June 2022, Shift 2, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by

y = (10\cos \pi x \sin\frac{2\pi t}{T})

cm The amplitude of the particle at

x=\frac{4}{3}

cm will be ________ cm.

Official answer

NTA final key.

Chapter: Waves
Topic: Waves on Strings
Idea tested: Standing Wave Equation

Same topic in other shifts

All Waves on Strings questions

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
8 Apr 2025, Shift 2 · Q34Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then…EasySingle correct
8 Apr 2025, Shift 2 · Q40The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, $y_1(x, t) = 4\sin(kx - \omega t)$ …MediumSingle correct
5 Apr 2024, Shift 2 · Q55A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of…EasyNumerical value
1 Feb 2024, Shift 1 · Q54A tuning fork resonates with a sonometer wire of length 1 m stretched with a tension of 6 N. When the tension in the wire is changed to 54…MediumNumerical 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.