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Mechanical Properties of Fluids

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 10 times: 2021 Paper 25, 28 Jun 2022, 26 Jul 2022, 31 Jan 2023, 1 Feb 2023, 29 Jan 2024, 24 Jan 2025, 2 Apr 2025, 2 Apr 2026 S1, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 10 of this type

    8
    Eight mercury drops, each of radius rr, coalesce to form a bigger drop. The surface energy released in this process is ____\_\_\_\_ . (S is the surface tension of mercury).

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  2. Question 2

    This type asked 7 times: 25 Jun 2022, 11 Apr 2023, 31 Jan 2024, 8 Apr 2024, 21 Jan 2026 S2, 24 Jan 2026 S1, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 7 of this type

    9
    A spherical liquid drop of radius R acquires the terminal velocity v1v_{1} when falls through a gas of viscosity η\eta. Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity v2v_{2} falling through the same gas. The ratio of terminal velocities v1/v2v_{1}/v_{2} is ____\_\_\_\_ .

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  3. Question 3

    This type asked 6 times: 26 Jun 2022, 28 Jun 2022, 12 Apr 2023, 13 Apr 2023, 21 Jan 2026 S1, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 6 of this type

    8
    A liquid of density 600 kg/m3600\text{ }kg/m^{3} flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm21.0{\text{ }cm}^{2} and that at B is 20 mm220{\text{ }mm}^{2}. Both the points A and B are in same horizontal plane, the speed of the liquid at A is 10 cm/s10\text{ }cm/s. The difference is pressures at A and B points is____\_\_\_\_ Pa.

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  4. Question 4

    This type asked 6 times: 29 Jan 2023, 11 Apr 2023, 4 Apr 2024, 24 Jan 2026 S2, 2 Apr 2026 S2, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 6 of this type

    22
    The surface tension of a soap solution is 3.5×10−2 N/m3.5 \times 10^{- 2}\text{ }N/m. The work required to increase the radius of a soap bubble from 1 cm to 2 cm is α×10−6 J\alpha \times 10^{- 6}\text{ }J. The value of α\alpha is ____\_\_\_\_ . (π=22/7)(\pi = 22/7)

  5. Question 5

    This type asked 6 times: 27 Jun 2022, 29 Jul 2022, 24 Jan 2023, 6 Apr 2023, 6 Apr 2024, 22 Jan 2025. This one: 22 Jan 2025 See all 6 of this type

    77
    A small rigid spherical ball of mass MM is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be (consider g as acceleration due to gravity)

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  6. Question 6

    This type asked 5 times: 2021 Paper 18, 30 Jan 2023, 7 Apr 2025, 21 Jan 2026 S2, 22 Jan 2026 S2. This one: 22 Jan 2026 S2 See all 5 of this type

    9
    When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h . If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by 1%1\% each, then the height of the liquid in the tube will change by ____\_\_\_\_ %.

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  7. Question 7

    Asked 4 times: 25 Jan 2023, 30 Jan 2024, 1 Feb 2024, 6 Apr 2024 See all 4 times it was asked

    23
    A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is 10x\frac{10}{x}. The value of xx is_____________.

  8. Question 8

    This type asked 4 times: 1 Feb 2023, 10 Apr 2023, 22 Jan 2025, 4 Apr 2026 S2. This one: 4 Apr 2026 S2 See all 4 of this type

    7
    A water spray gun is attached to a hose of cross-sectional area 30 cm230{\text{ }cm}^{2}. The gun comprises of 10 perforations each of cross-sectional area of 15 mm215{\text{ }mm}^{2}. If the water flows in the hose with the speed of 50 cm/s50\text{ }cm/s, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

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  9. Question 9

    This type asked 4 times: 8 Apr 2024, 28 Jan 2025, 24 Jan 2026 S2, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 4 of this type

    25
    A tube is filled with water and a wooden cube 10 cm×10 cm×10 cm10\text{ }cm \times 10\text{ }cm \times 10\text{ }cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by 3.87 cm . The mass of the metal coin is ____\_\_\_\_ gram. (Take water density as 1 g/cm31\text{ }g/{cm}^{3} and density of wood as 0.4 g/cm30.4\text{ }g/{cm}^{3} )

  10. Question 10

    This type asked 4 times: 2021 Paper 17, 28 Jun 2022, 3 Apr 2025, 23 Jan 2026 S2. This one: 23 Jan 2026 S2 See all 4 of this type

    20
    A small metallic sphere of diameter 2 mm and density 10.5 g/cm310.5\text{ }g/cm^{3} is dropped in glycerine having viscosity 10 Poise and density 1.5 g/cm31.5\text{ }g/cm^{3} respectively. The terminal velocity attained by the sphere is ____\_\_\_\_ cm/scm/s. (π=227\pi =\frac{22}{7} and g=10 m/s2g = 10\text{ }m/s^{2})

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