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Viscous force at terminal velocity equals weight minus buoyancy

This type of question, 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. All 6 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    7
    A ball rises to the surface at a constant velocity in a liquid whose density is 4 times greater than that of the material of the ball. The ratio of the force of friction acting on the rising ball and its weight is

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  2. Question 2

    15 May 2023 S2

    41
    A ball rises to surface at a constant velocity in liquid whose density is 3 times greater than that of the material of the ball. The ratio of force of friction acting on the rising ball to its weight is

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  3. Question 3

    10 May 2024 S2

    27
    A metal sphere of mass 'mm' and density 'σ1\sigma_1' falls with terminal velocity through a container containing liquid. The density of liquid is 'σ2\sigma_2'. The viscous force acting on the sphere is

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  4. Question 4

    25 Apr 2025 S1

    34
    The velocity of small spherical ball of mass ' mm ' and density ' d1d_{1} ', when dropped in a container filled with glycerine becomes constant after some time. The viscous force acting on the ball if density of glycerine is ' d2d_{2} ' is

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  5. Question 5

    11 Apr 2026 S1

    110
    A spherical ball of radius 11 mm and density 10.510.5 g/cc is dropped in glycerine of coefficient of viscosity 9.89.8 poise and density 1.51.5 g/cc. Viscous force on the ball when it attains constant velocity is 3696×10−x3696 \times 10^{-x} N. The value of xx is (Given, g=9.8 m/s2g = 9.8\ \mathrm{m/s^2} and π=227\pi = \dfrac{22}{7})

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  6. Question 6

    15 May 2026 S2

    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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