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Bulk modulus: pressure needed for a given volume change, or volume change under a given pressure

This type of question, asked 5 times: 14 Jun 2022, 1 Feb 2023, 24 Jan 2025, 28 Jan 2025, 4 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    1
    The bulk modulus of a liquid is 3×1010Nm−23 \times10^{10}Nm^{- 2}. The pressure required to reduce the volume of liquid by 2%2\% is:

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  2. Question 2

    1 Feb 2023

    22
    A certain pressure ' PP ' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to 0.01%0.01\% whereas the liquid gets compressed to 0.03%0.03\%. The ratio of Bulk modulus of water to that of the liquid is 3x\frac{3}{x}. The value of xx is ____\_\_\_\_.

  3. Question 3

    24 Jan 2025

    99
    The increase in pressure required to decrease the volume of a water sample by 0.2%0.2\% is P×105Nm−2P \times10^{5}Nm^{- 2}. Bulk modulus of water is 2.15×109Nm−22.15 \times10^{9}Nm^{- 2}. The value of PP is _____\_\_\_\_\_

  4. Question 4

    28 Jan 2025

    98
    The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure of 7×106 Pa7 \times10^{6}\text{ }Pa, would be ____\_\_\_\_ mm3mm^{3}. (Given bulk modulus of copper =1.4×1011Nm−2= 1.4 \times10^{11}Nm^{- 2} )

  5. Question 5

    4 Apr 2026 S1

    2
    The increase in the pressure required to decrease the volume ( ΔV\Delta V ) of water is 6.3×107 N/m26.3 \times10^{7}\text{ }N/m^{2}. The percentage decrease in the volume is ____\_\_\_\_ . (Bulk modulus of water =2.1×109 N/m2= 2.1 \times10^{9}\text{ }N/m^{2})

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