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Pressure gauge reading falls when a valve is opened: speed of water in the pipe

The same question, asked 2 times: 27 Jan 2024*, 23 Jan 2025. Every wording below, oldest first.

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  1. Question 1

    27 Jan 2024

    115
    The reading of pressure metre attached with a closed pipe is 4.5×104 N/m24.5 \times10^{4}\text{ }N/m^{2}. On opening the valve, water starts flowing and the reading of pressure metre falls to 2.0×104 N/m22.0 \times10^{4}\text{ }N/m^{2}. The velocity of water is found to be Vm/s\sqrt{V}m/s. The value of VV is _____

  2. Question 2

    23 Jan 2025

    83
    Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is P1P_{1}. The reading of the pressure gauge falls to P2P_{2} when the valve is opened. The speed of water flowing in the pipe is proportional to

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