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Superposition of Waves

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET 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

    Asked 10 times: 11 May 2023 S2*, 10 May 2024 S2*, 11 May 2024 S1*, 13 May 2024 S2*, 19 Apr 2025 S1, 18 Apr 2026 S1*, 19 Apr 2026 S1*, 12 May 2026 S1*, 12 May 2026 S2*, 15 May 2026 S2 (* = numbers or wording changed that year) See all 10 times it was asked

    122
    An organ pipe P1P_1 closed at one end and vibrating in its first overtone and other pipe P2P_2 open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of length of P1P_1 and P2P_2 will be

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  2. Question 2

    This type asked 10 times: May 2021 S1, May 2022 S1, 2 May 2023 S1, 4 May 2023 S1, 4 May 2023 S2, 15 May 2023 S2, 19 Apr 2025 S2, 13 Apr 2026 S2, 13 May 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 10 of this type

    124
    Two points separated by 66 cm on a string has phase difference of 60∘60^\circ. If frequency of oscillation is 500500 Hz, the velocity of the wave in ms\dfrac{m}{s} is

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  3. Question 3

    This type asked 8 times: 4 May 2023 S1, 10 May 2024 S1, 11 May 2024 S2, 12 May 2024 S1, 20 Apr 2025 S1, 26 Apr 2025 S1, 20 Apr 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 8 of this type

    122
    A uniform wire of length LL, diameter DD and density ρ\rho is stretched under tension TT. The relation between its fundamental frequency ff, length LL and diameter DD is

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  4. Question 4

    This type asked 7 times: 9 May 2024 S1, 11 May 2024 S1, 18 Apr 2026 S1, 19 Apr 2026 S1, 12 May 2026 S1, 12 May 2026 S2, 15 May 2026 S2. This one: 9 May 2024 S1 See all 7 of this type

    28
    A closed organ pipe of length 'L1L_1' and an open organ pipe contain diatomic gases of densities 'ρ1\rho_1' and 'ρ2\rho_2' respectively. The compressibilities of the gases are same in both pipes, which are vibrating in their first overtone with same frequency. The length of the open organ pipe is (Neglect end correction)

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  5. Question 5

    This type asked 7 times: 9 May 2024 S2, 11 May 2024 S2, 13 May 2024 S2, 22 Apr 2025 S1, 23 Apr 2025 S1, 19 Apr 2026 S2, 12 May 2026 S1. This one: 12 May 2026 S1 See all 7 of this type

    121
    A simple harmonic progressive wave is given by the equation y=asin⁡2π(nt−xλ)y = a\sin 2\pi\left(nt - \dfrac{x}{\lambda}\right). If the wave velocity is equal to 16×\dfrac{1}{6} \times (maximum particle velocity), then the wavelength λ\lambda is {a\{a = amplitude, nn = frequency, tt = time, yy = displacement, xx = distance}\}

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  6. Question 6

    This type asked 7 times: 12 May 2024 S2, 13 May 2024 S2, 14 May 2024 S2, 19 Apr 2025 S2, 23 Apr 2025 S1, 25 Apr 2025 S2, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 7 of this type

    120
    A tuning fork gives 55 beats per second with a 3333 cm length of sonometer wire. If the length of the wire is shortened by 11 cm, the number of beats is still the same. The frequency of the fork is

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  7. Question 7

    This type asked 6 times: 4 May 2023 S1, 10 May 2023 S1, 21 Apr 2025 S1, 16 Apr 2026 S2, 18 Apr 2026 S1, 19 May 2026 S1. This one: 19 May 2026 S1 See all 6 of this type

    122
    Two simple harmonic sound waves travelling in the same direction are given by y1(x,t)=Asin⁡(0.5πx−100πt)y_1(x, t) = A\sin(0.5\pi x - 100\pi t) and y2(x,t)=Asin⁡(0.46πx−92πt)y_2(x, t) = A\sin(0.46\pi x - 92\pi t) The number of times, a stationary listener can hear sound of maximum intensity in one second is

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  8. Question 8

    This type asked 6 times: 3 May 2023 S2, 9 May 2023 S1, 20 Apr 2025 S2, 15 Apr 2026 S1, 15 Apr 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 6 of this type

    123
    The speed of a wave on a string is 150150 m/s when the tension is 120120 N. The percentage increase in the tension to raise the wave speed by 20%20\% is

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  9. Question 9

    This type asked 6 times: 10 May 2024 S2, 11 May 2024 S1, 12 May 2024 S2, 13 Apr 2026 S2, 16 Apr 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 6 of this type

    121
    The equation of a plane progressive wave is Y=0.025sin⁡(100t+0.25x)Y = 0.025\sin(100t + 0.25x). The frequency of this wave would be

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  10. Question 10

    This type asked 6 times: 2 May 2023 S1, 3 May 2023 S1, 13 Apr 2026 S2, 20 Apr 2026 S2, 12 May 2026 S1, 13 May 2026 S2. This one: 13 May 2026 S2 See all 6 of this type

    122
    The path difference between two waves Y1=a1sin⁡(ωt−2πxλ)Y_1 = a_1\sin\left(\omega t - \dfrac{2\pi x}{\lambda}\right) and Y2=a2cos⁡(ωt−2πxλ+Φ)Y_2 = a_2\cos\left(\omega t - \dfrac{2\pi x}{\lambda} + \Phi\right) is

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