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Mechanical Properties of Fluids

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

    This type asked 16 times: 5 in 2023, 2 in 2024, 2 in 2025, 7 in 2026. This one: 14 May 2026 S2 See all 16 of this type

    110
    The excess pressure inside a spherical drop of water is four times that of another drop. Then, their respective mass ratio is

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  2. Question 2

    This type asked 13 times: 9 May 2023 S2, 15 May 2023 S1, 10 May 2024 S2, 11 May 2024 S1, 11 May 2024 S2, 19 Apr 2025 S1, 22 Apr 2025 S2, 26 Apr 2025 S2, 13 Apr 2026 S1, 19 Apr 2026 S1, 19 Apr 2026 S2, 13 May 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 13 of this type

    112
    Two water drops each of radius rr coalesce to form a big drop. If TT is the surface tension, the surface energy released in this process is 4πr2Tx4\pi r^2Tx. The value of xx is

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  3. Question 3

    This type asked 12 times: May 2021 S1, 11 May 2023 S1, 16 May 2023 S2, 12 May 2024 S1, 12 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 20 Apr 2025 S2, 11 Apr 2026 S2, 13 Apr 2026 S1, 13 Apr 2026 S2, 16 Apr 2026 S2. This one: 16 Apr 2026 S2 See all 12 of this type

    109
    One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

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  4. Question 4

    This type asked 9 times: May 2022 S1, 11 May 2023 S1, 15 May 2023 S2, 9 May 2024 S2, 13 May 2024 S2, 25 Apr 2025 S2, 15 Apr 2026 S1, 17 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 9 of this type

    109
    If 450450 erg of work is done in blowing a soap bubble of radius 'rr', the additional work required to be done to blow it to a radius equal to 3r3r is

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  5. Question 5

    Asked 8 times: 9 May 2023 S2*, 11 May 2023 S2*, 19 Apr 2025 S2*, 26 Apr 2025 S1*, 11 Apr 2026 S1*, 12 May 2026 S2*, 19 May 2026 S1*, 19 May 2026 S2 (* = numbers or wording changed that year) See all 8 times it was asked

    110
    A tiny water droplet falls through the air at a uniform terminal speed of 11 cm/s. If 2727 such identical droplets coalesce to form a single larger drop, what will be the new terminal velocity of the resulting drop, assuming the air remains the same?

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  6. Question 6

    Asked 6 times: 16 May 2023 S2*, 12 May 2024 S1, 20 Apr 2025 S1, 20 Apr 2025 S2*, 11 Apr 2026 S2*, 13 Apr 2026 S2 (* = numbers or wording changed that year) See all 6 times it was asked

    111
    A spherical drop of liquid splits into 10001000 identical spherical drops. If uiu_i is the surface energy of the original drop and ufu_f is the total surface energy of the resulting drops, the (ignoring evaporation). uf/ui=(10/x)u_f/u_i = (10/x). Then value of xx is

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  7. Question 7

    This type asked 6 times: 2 May 2023 S2, 15 May 2023 S2, 10 May 2024 S2, 25 Apr 2025 S1, 11 Apr 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 6 of this type

    111
    The velocity of a small ball of mass MM and density dd when dropped in a container filled with glycerine becomes constant after some time. If density of glycerine is d2\dfrac{d}{2} then the viscous force acting on the ball will be (gg=acceleration due to gravity)

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  8. Question 8

    This type asked 6 times: 4 May 2023 S2, 9 May 2024 S2, 12 May 2024 S1, 22 Apr 2025 S1, 12 May 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 6 of this type

    109
    A frame made up of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 25% the energy of the soap film will be changed by

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  9. Question 9

    This type asked 6 times: 3 May 2023 S2, 11 May 2023 S2, 12 May 2024 S2, 20 Apr 2025 S2, 13 May 2026 S1, 14 May 2026 S1. This one: 14 May 2026 S1 See all 6 of this type

    110
    Two spherical rain drops reach the surface of the earth with terminal velocities having ratio 16:916 : 9. The ratio of their surface area is

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  10. Question 10

    This type asked 6 times: 3 May 2023 S1, 10 May 2024 S1, 21 Apr 2025 S1, 21 Apr 2025 S2, 16 Apr 2026 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 6 of this type

    111
    An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius '3R3R' at point A and '1.5R1.5R' at point B, further along the flow direction at the same level. If the velocity at point A is 'vv', then that at point B is

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