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27 March, 23:57

A 12 liter volume of oil is subjected to pressure which produces a volume strain of - 3.0*10^-4. The bulk modulus of the oil is 6.0*10^9 Pa and is independent of the pressure. In situation above, the reduction in the volume of the oil, in ml, is closest to:

(a) 2.8 ml

(b) 3.6 ml

(c) 2.0 ml

(d) 2.4 ml

(e) 3.2 ml

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  1. 28 March, 03:15
    0
    B. 3.6 mL.

    Explanation:

    Bulk modulus is defined as the ratio of pressure applied to the corresponding decrease in volume of the material.

    Volume strain which is also called a bulk strain is defined as the ratio between the change in volume of an object and its original volume.

    Vs = (ΔV) / V

    Since, ΔV/V = - 3 x 10^-4

    Vi = 12L

    ΔV/V = - 3 x 10^-4

    Note: Vf - Vi = ΔV

    ΔV/Vi = 3 x 10^-4

    ΔV = 3 x 10^-4 * 12

    = 0.0036 L

    = 3.6 mL
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