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Question

A water sample of volume 1.5litres is compressed by a pressure of 3×106N/m2. If the bulk modulus of water is 2.2×109N/m2, what is the fractional change in volume?

Options

Choose one · Correct answer highlighted

Explanation

Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −3×1062.2×109≈−1.36×10−3. Magnitude: 1.36×10−3. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.36×10−3. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.

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