Learn

Friday, 9 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

Same topic in other shifts

All Waves on Strings questions
  1. 2 Apr 2026, Shift 1 · Q35The equation of a plane progressive wave is given by y=5cos⁡π(200 t−x150)y=5\cos\pi\left(200\,t-\frac{x}{150}\right) where xx and yy are in cm and tt is…EasySingle correct
  2. 7 Apr 2025, Shift 2 · Q35The equation of a wave travelling on a string is y=sin⁡[20πx+10πt]y=\sin[20\pi x+10\pi t], where xx and t are distance and time in SI units. The minimum…MediumSingle correct
  3. 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
  4. 11 Apr 2023, Shift 1 · Q56The equation of wave is given by Y=10−2sin⁡2π(160t−0.5x+π/4)Y = 10^{-2}\sin 2\pi(160t - 0.5x + \pi/4) where xx and YY are in m and tt in s. The speed of the…EasyNumerical value
  5. 13 Apr 2023, Shift 2 · Q54In an experiment with sonometer when a mass of 180 g is attached to the string, it vibrates with fundamental frequency of 30 Hz. When a…EasyNumerical value
  6. 28 Jul 2022, Shift 1 · Q39In the wave equation y=0.5sin⁡2πλ(400 t−x) my=0.5\sin\frac{2\pi}{\lambda}(400\,t-x)\ \mathrm{m} the velocity of the wave will be :EasySingle 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.