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Friday, 9 October

JEE Main Physics · Class 11

Waves: JEE Main previous year questions

Waves had 27 questions in the 42 JEE Main shifts Lumi analysed, about 0.6 a shift, asked in 25 of 42 shifts. It ranks 26 of 29 Physics chapters by questions; 0% of its questions were hard.

Questions
27
in 25 of 42 shifts
A shift, on average
0.6
of 25 Physics questions
Since 2024
-0.0
0.6 a shift in 2017–23, 0.5 in 2024–26
Numerical answer
12
44% of its questions

Year by year

How often it came

Questions in the analysed shifts of each year. Years differ in how many shifts Lumi analysed, so read the bars with the shift count.

Questions each year
0480’173’201’215’224’235’247’252’26

2017: 1 shifts · 2020: 4 shifts · 2021: 4 shifts · 2022: 4 shifts · 2023: 4 shifts · 2024: 8 shifts · 2025: 8 shifts · 2026: 9 shifts

Difficulty by year
  • 2017
  • 20203
  • 20211
  • 20225
  • 20234
  • 20245
  • 20257
  • 20262
  • Easy
  • Medium
  • Hard

Inside the chapter

Topics and the ideas that repeat

6 topics and 16 distinct ideas; 5 ideas were asked more than once. Most questions are single correct and calculation.

Topics, by questions

3 questions had no close topic in our taxonomy and are counted for the chapter only.

Ideas asked most
5 repeat

Every question

All 27 Waves questions

Newest first. Each opens with its options and the official answer.

2026 2 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. 5 Apr 2026, Shift 1 · Q48A transverse wave on a string is described by y=3sin⁡(36t+0.018x+π/4)y = 3\sin(36t + 0.018x + \pi/4), where x,yx, y are in cm and tt in seconds. The least…MediumNumerical value

2025 7 questions

  1. 2 Apr 2025, Shift 2 · Q34A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the xx-direction in 0.3 sec. The crest P is at x=0x = 0 at…MediumSingle correct
  2. 3 Apr 2025, Shift 2 · Q35In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is…MediumSingle correct
  3. 4 Apr 2025, Shift 2 · Q34Displacement of a wave is expressed as x(t)=5cos⁡(628t+π2)x(t)=5\cos\left(628t+\frac{\pi}{2}\right) m. The wavelength of the wave when its velocity is 300…EasySingle correct
  4. 7 Apr 2025, Shift 1 · Q34Two harmonic waves moving in the same direction superimpose to form a wave x=acos⁡(1.5t)cos⁡(50.5t)x = a\cos(1.5t)\cos(50.5t) where t is in seconds. Find the…MediumSingle correct
  5. 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
  6. 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
  7. 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

2024 5 questions

  1. 6 Apr 2024, Shift 2 · Q51Two open organ pipes of lengths 60 cm and 90 cm resonate at 6th6^{\text{th}} and 5th5^{\text{th}} harmonics respectively. The difference of…EasyNumerical value
  2. 8 Apr 2024, Shift 1 · Q54A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is (a−1a)\left(\frac{a-1}{a}\right)…MediumNumerical value
  3. 30 Jan 2024, Shift 2 · Q54A point source is emitting sound waves of intensity 16×10−8 Wm−216\times 10^{-8}\ Wm^{-2} at the origin. The difference in intensity (magnitude…EasyNumerical value
  4. 31 Jan 2024, Shift 1 · Q49The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open…EasySingle correct
  5. 31 Jan 2024, Shift 2 · Q38The speed of sound in oxygen at S.T.P. will be approximately: (given, R=8.3 JK−1R=8.3\ \mathrm{JK^{-1}}, γ=1.4\gamma=1.4)MediumSingle correct

2023 4 questions

  1. 6 Apr 2023, Shift 1 · Q51A person driving car at a constant speed of 15 m/s is approaching a vertical wall. The person notices a change of 40 Hz in the frequency…MediumNumerical value
  2. 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
  3. 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
  4. 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

2022 5 questions

  1. 25 Jul 2022, Shift 1 · Q55An observer is riding on a bicycle and moving towards a hill at 18 km h−118\ \mathrm{km\,h^{-1}}. He hears a sound from a source at some distance…MediumNumerical value
  2. 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
  3. 28 Jul 2022, Shift 1 · Q57The frequency of echo will be __________ Hz if the train blowing a whistle of frequency 320 Hz is moving with a velocity of 36 km/h…MediumNumerical value
  4. 24 Jun 2022, Shift 1 · Q42The equations of two waves are given by : y1=5sin⁡2π(x−vt)y_1=5\sin 2\pi(x-vt) cm y2=3sin⁡2π(x−vt+1.5)y_2=3\sin 2\pi(x-vt+1.5) cm These waves are simultaneously passing…EasySingle correct
  5. 29 Jun 2022, Shift 1 · Q46A longitudinal wave is represented by x=10sin⁡2π(nt−xλ)x = 10\sin 2\pi\left(nt - \frac{x}{\lambda}\right) cm. The maximum particle velocity will be four…MediumSingle correct

2021 1 questions

  1. 16 Mar 2021, Shift 2 · Q30A closed organ pipe of length L and an open organ pipe contain gases of densities ρ1\rho_1 and ρ2\rho_2 respectively. The compressibility…MediumNumerical value

2020 3 questions

  1. 8 Jan 2020, Shift 1 · Q23A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in…MediumNumerical value
  2. 9 Jan 2020, Shift 2 · Q11A wire of length LL and mass per unit length 6.0×10−3 kg m−16.0\times10^{-3}\ \mathrm{kg\,m^{-1}} is put under tension of 540 N. Two consecutive…MediumSingle correct
  3. 2 Sep 2020, Shift 1 · Q10Two identical strings XX and ZZ made of same material have tension TXT_X and TZT_Z in them. If their fundamental frequencies are 450 Hz…EasySingle correct

Pattern: Asked most years.