PYQ Vault

Equation of continuity: speed of flow where the cross-section changes

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

Try each one first, then open its answer.

  1. Question 1

    3 May 2023 S1

    7
    A gardening pipe having an internal radius 'R' is connected to a water sprinkler having 'n' holes each of radius 'r'. The water in the pipe has a speed 'v'. The speed of water leaving the sprinkler is

    Tap an option to check your answer.

  2. Question 2

    10 May 2024 S1

    18
    Water flows through a horizontal pipe at a speed VV. The internal diameter of the pipe is dd. If the water comes out at a speed V1V_1, then the diameter of the nozzle is

    Tap an option to check your answer.

  3. Question 3

    21 Apr 2025 S1

    31
    An incompressible fluid flows steadily through a cylindrical pipe having radius R at point A and (R3)\left( \frac{R}{3} \right) at point B further along the direction of flow of liquid. If the velocity at point A is ' V ' then that at point B is

    Tap an option to check your answer.

  4. Question 4

    21 Apr 2025 S2

    36
    Water flows through a horizontal pipe of varying cross-section at the rate of π×10−1 m3/s\pi\times10^{-1}\text{ }m^{3}/s. The velocity of water at a point where the radius of the pipe is 10 cm is ( π=3.14\pi= 3.14 )

    Tap an option to check your answer.

  5. Question 5

    16 Apr 2026 S1

    112
    Water flows through a horizontal pipe at a speed 'V'. Internal diameter of the pipe is 'd'. If the water is emerging at a speed 'V1V_1' then the diameter of the nozzle is

    Tap an option to check your answer.

  6. Question 6

    19 Apr 2026 S1

    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

    Tap an option to check your answer.