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Waves

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 9 times: 28 Jul 2022, 24 Jan 2023, 10 Apr 2023, 11 Apr 2023, 8 Apr 2024, 23 Jan 2025, 4 Apr 2025, 2 Apr 2026 S1, 5 Apr 2026 S1. This one: 5 Apr 2026 S1 See all 9 of this type

    23
    A 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 distance between the two successive crests in the wave is ____\_\_\_\_ cm. (Nearest integer) (π=3.14)(\pi = 3.14)

  2. Question 2

    This type asked 5 times: 25 Jun 2022, 31 Jan 2024, 8 Apr 2024, 22 Jan 2025, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 5 of this type

    9
    The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5/x5/x. The value of x is ____\_\_\_\_ .

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  3. Question 3

    This type asked 5 times: 2021 Paper 20, 27 Jun 2022, 25 Jan 2023, 29 Jan 2023, 11 Apr 2023. This one: 11 Apr 2023 See all 5 of this type

    92
    A car PP travelling at 20 ms−120{\text{ }ms}^{- 1} sounds its horn at a frequency of 400 Hz400\text{ }Hz. Another car Q is travelling behind the first car in the same direction with a velocity 40 ms−140{\text{ }ms}^{- 1}. The frequency heard by the passenger of the car QQ is approximately [Take, velocity of sound =360 ms−1= 360{\text{ }ms}^{- 1} ]

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  4. Question 4

    This type asked 5 times: 2021 Paper 19, 14 Jun 2022, 25 Jul 2022, 29 Jan 2023, 31 Jan 2023. This one: 31 Jan 2023 See all 5 of this type

    120
    The displacement equations of two interfering waves are given by y1=10sin⁡(ωt+π3)cm,y2=y_{1}= 10\sin\left( \omega t +\frac{\pi}{3} \right)cm,y_{2}= 5[sin⁡ωt+3cos⁡ωt]cm5\lbrack \sin\omega t +\sqrt{3}\cos\omega t\rbrack cm respectively. The amplitude of the resultant wave is ____cm.

  5. Question 5

    This type asked 4 times: 6 Apr 2023, 31 Jan 2024, 4 Apr 2025, 23 Jan 2026 S2. This one: 23 Jan 2026 S2 See all 4 of this type

    25
    The velocity of sound in air is doubled when the temperature is raised from 0∘C0^{\circ}C to α∘C\alpha^{\circ}C. The value of α\alpha is ____\_\_\_\_ .

  6. Question 6

    This type asked 4 times: 2021 Paper 3, 2021 Paper 21, 28 Jun 2022, 29 Jun 2022. This one: 29 Jun 2022 See all 4 of this type

    113
    In an experiment to determine the velocity of sound in air at room temperature using a resonance is observed when the air column has a length of 20.0 cmcm for a tuning fork of frequency 400 Hz400\text{ }Hz is used. The velocity of the sound at room temperature is 336 ms−1336{\text{ }ms}^{- 1}. The third resonance is observed when the air column has a length of ____\_\_\_\_ cm.

  7. Question 7

    This type asked 3 times: 8 Apr 2023, 6 Apr 2024, 22 Jan 2026 S2. This one: 22 Jan 2026 S2 See all 3 of this type

    8
    In an open organ pipe v3v_{3} and v6v_{6} are 3rd3^{\text{rd}} and 6th6^{\text{th}} harmonic frequencies, respectively. If v6−v3=2200 Hzv_{6} - v_{3} = 2200\text{ }Hz then length of the pipe is ____\_\_\_\_ mm. (Take velocity of sound in air is 330 m/s330\text{ }m/s.)

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  8. Question 8

    This type asked 3 times: 28 Jun 2022, 27 Jan 2024, 3 Apr 2025. This one: 3 Apr 2025 See all 3 of this type

    77
    In 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 sounding in the respective fundamental modes. The velocity of sound in the air column is :

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  9. Question 9

    This type asked 3 times: 8 Apr 2023, 13 Apr 2023, 5 Apr 2024. This one: 5 Apr 2024 See all 3 of this type

    114
    A sonometer wire of resonating length 90 cm90\text{ }cm has a fundamental frequency of 400 Hz400\text{ }Hz when kept under some tension. The resonating length of the wire with fundamental frequency of 600 Hz600\text{ }Hz under same tension ____ cmcm.

  10. Question 10

    This type asked 3 times: 2021 Paper 11, 28 Jul 2022, 6 Apr 2023. This one: 6 Apr 2023 See all 3 of this type

    25
    A person driving car at a constant speed of 15 m/s15\text{ }m/s is approaching a vertical wall. The person notices a change of 40 Hz40\text{ }Hz in the frequency of his car's horn upon reflection from the wall. The frequency of horn is___ Hz. (Given: Speed of sound: 330 m/s330\text{ }m/s )