Practice question
Question
A water sample of volume 2.5litres is compressed by a pressure of 2×106N/m2. If the bulk modulus of water is 2.2×109N/m2, what is the fractional change in volume?
Explanation
Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −2×1062.2×109≈−9.09×10−4. Magnitude: 9.09×10−4. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 9.09×10−4. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
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