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Saturday, 31 October

JEE Main 2025 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 8 April 2025, Shift 2, Physics Q40

Question 40 of 75 in this shift, Physics question 15 of 25, Section A.

The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, y1(x,t)=4sin⁡(kx−ωt)y_1(x, t) = 4\sin(kx - \omega t) and y2(x,t)=2sin⁡(kx−ωt+2π3)y_2(x, t) = 2\sin\left(kx - \omega t + \frac{2\pi}{3}\right), are: (Take the angular frequency of initial waves same as ω\omega)
  1. (1)[23,π/6][2\sqrt{3}, \pi/6]Official answer
  2. (2)[6,π/3][6, \pi/3]
  3. (3)[3,π/6][\sqrt{3}, \pi/6]
  4. (4)[6,2π/3][6, 2\pi/3]

Official answer

Option 1

NTA final key.

Chapter
Waves
Topic
Waves on Strings
Idea tested
Superposition of Traveling Waves

Same idea in other shifts

Asked 3× in all
  1. 26 Aug 2021, Shift 2 · Q30Two waves are simultaneously passing through a string and their equations are : y1=A1sin⁡k(x−vt)y_1=\mathrm{A_1}\sin k(x-vt),…MediumNumerical value
  2. 9 Jan 2020, Shift 1 · Q9Three harmonic waves having equal frequency ν\nu and same intensity I0I_0, have phase angles 0,π40, \frac{\pi}{4} and −π4-\frac{\pi}{4}…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 108 of the 174 JEE Main shifts held from 2017 to 2026.