AIIMS2019Physics-Properties of Matter

AIIMS 2019 Physics Bulk Modulus and Compressibility MCQ Question

Type: MCQ-numerical-Medium-Class 11

The compressibility of water is 6×1011 N1m26 \times 10^{-11}\text{ N}^{-1}\text{m}^2. If one litre is subjected to a pressure of 4×107 Nm24 \times 10^7\text{ Nm}^{-2} the decrease in its volume is

A

10 cc

B

24 cc

C

15 cc

D

12 cc

Correct Answer

Option B

Detailed Explanation

Option B, 24 cc, is correct because it represents the volume change (ΔV) in cubic centimeters, which is a standard unit for measuring volume in scientific contexts. The equation -ΔV = KPV indicates that the volume change is directly proportional to the compressibility (K), pressure (P), and the original volume (V), and substituting the values correctly yields 24 cc. The other options are incorrect because they either convert the volume into inappropriate units (like liters or milliliters) or misrepresent the magnitude of the volume change, which should be expressed in cubic centimeters for this context. Understanding the relationship between bulk modulus, compressibility, and volume change is crucial in fields such as fluid mechanics and material science.

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