JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 24 June 2022, Shift 1, Physics Q42

Question 42 of 90 in this shift, Physics question 12 of 30, Section A.

The equations of two waves are given by :

y_1=5\sin 2\pi(x-vt)

y_2=3\sin 2\pi(x-vt+1.5)

cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

(1)2 cmOfficial answer
(2)4 cm
(3)5.8 cm
(4)8 cm

Official answer

Option 1

NTA final key (2022 Session 1).

Chapter: Waves
Topic: Waves on Strings
Idea tested: Interference Amplitude on Strings

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
8 Apr 2023, Shift 2 · Q51A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental…EasyNumerical value
11 Apr 2023, Shift 1 · Q56The equation of wave is given by $Y = 10^{-2}\sin 2\pi(160t - 0.5x + \pi/4)$ where $x$ and $Y$ are in m and $t$ in s. The speed of the…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 42 of the 174 JEE Main shifts held from 2017 to 2026.