Practice question
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 change in volume?
Explanation
Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −3×1062.2×109≈−1.36×10−3. Volume: V = 1.5litres = 1.5×10−3m3. Change in volume: ΔV = ΔVV×V = −1.36×10−3×1.5×10−3≈−2.04×10−6m3. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.04×10−6m3. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.