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#fractional change in volume

2 public questions tagged with this topic.

A glass slab of volume 0.02m3 is subjected to a hydraulic pressure of 4×106N/m2. If the bulk modulus of glass is 3.7×101

Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −4×1063.7×1010≈−1.08×10−4. Magnitude: 1.08×10−4. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.08×10−4. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.

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

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.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.