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Question

A water sample of volume 3litres is compressed by a pressure of 4×106N/m2. If the bulk modulus of water is 2.2×109N/m2, what is the change in volume?

Options

Choose one · Correct answer highlighted

Explanation

Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −4×1062.2×109≈−1.82×10−3. Volume: V = 3litres = 3×10−3m3. Change in volume: ΔV = ΔVV×V = −1.82×10−3×3×10−3≈−5.45×10−6m3. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5.45×10−6m3. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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