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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyApplication

JEE Main 30 June 2022, Shift 1, Physics Q42

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

Which of the following equations correctly represents a travelling wave having wavelength λ\lambda=4.0 cm, frequency ν\nu=100 Hz and travelling in positive xx-axis direction ?
  1. (1)y=Asin⁡[(0.50 π cm−1) x−(100 π s−1)t]y=\mathrm{A}\sin[(0.50\ \pi\ \mathrm{cm^{-1}})\,x-(100\ \pi\ \mathrm{s^{-1}})\mathrm{t}]
  2. (2)y=Asin⁡2π [(0.25 cm−1) x−(50 s−1)t]y=\mathrm{A}\sin 2\pi\,[(0.25\ \mathrm{cm^{-1}})\,x-(50\ \mathrm{s^{-1}})\mathrm{t}]
  3. (3)y=Asin⁡[(2π4 cm−1)x−(2π100 s−1)t]y=\mathrm{A}\sin\left[\left(\frac{2\pi}{4}\ \mathrm{cm^{-1}}\right)x-\left(\frac{2\pi}{100}\ \mathrm{s^{-1}}\right)\mathrm{t}\right]
  4. (4)y=Asin⁡π [(0.5 cm−1) x−(200 s−1)t]y=\mathrm{A}\sin\pi\,[(0.5\ \mathrm{cm^{-1}})\,x-(200\ \mathrm{s^{-1}})\mathrm{t}]Official answer

Official answer

Option 4

NTA final key.

Chapter
Waves
Topic
Waves on Strings
Idea tested
Direction of Wave Propagation

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 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
  4. 8 Apr 2025, Shift 2 · Q40The 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)…MediumSingle correct
  5. 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
  6. 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.