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Speed of efflux of a liquid from a pressure difference

This type of question, asked 3 times: 10 May 2023 S1, 16 Apr 2026 S1, 12 May 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    26
    A completely filled water tank of height 'h' has a hole at the bottom. The total pressure at the bottom is 4H4H and atmospheric pressure is HH. The velocity of water flowing out of the hole is (ρ=\rho= density of water)

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  2. Question 2

    10 May 2023 S1

    11
    A closed pipe containing a liquid showed a pressure P1P_1 by gauge. When the valve was opened, pressure was reduced to P2P_2. The speed of water flowing out of the pipe is (ρ=\rho= density of water)

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  3. Question 3

    16 Apr 2026 S1

    111
    A closed pipe containing liquid showed a pressure P1P_1 by gauge. When the valve was opened, pressure was reduced to P2P_2. The speed of water flowing out of the pipe is (ϱ\varrho=density of water)

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  4. Question 4

    12 May 2026 S2

    109
    A water tank of height ′h′'h' has a hole at the bottom. It is completely filled with water. The total pressure at the bottom is 4H4H and atmospheric pressure is HH. The velocity of water flowing out of the hole is (ρ\rho = density of water)

    Tap an option to check your answer.