STANDARD Physics Compressibility MCQ Question
The compressibility of water is 6 × 10⁻¹⁰ N⁻¹ m². If one litre is subjected to a pressure of 4 × 10⁷ N m⁻², the decrease in its volume is
10 cc
24 cc
15 cc
12 cc
Correct Answer
Detailed Explanation
Bulk modulus, B = -P / (ΔV / V). The negative sign shows that with an increase in pressure, a decrease in volume occurs. Compressibility, K = 1/B = -ΔV / PV. Decrease in volume, ΔV = PV = 4 × 10⁷ × 1 × 6 × 10⁻¹⁰ = 24 × 10⁻³ litre = 24 × 10⁻³ × 10³ cm³ = 24 cc.
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