Practice question
Question
A water sample of volume 1litre is compressed by a pressure of 1×106N/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 = −1×1062.2×109≈−4.55×10−4. Magnitude: 4.55×10−4. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.55×10−4. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.