Skip to content

#fractional change

3 public questions tagged with this topic.

A glass slab of volume 0.04m3 is subjected to a hydraulic pressure of 7×106N/m2. If the bulk modulus of glass is 3.7×101

Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −7×1063.7×1010≈−1.89×10−4. Magnitude: 1.89×10−4. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.89×10−4. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

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

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

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.

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

A glass slab of volume 0.05m3 is subjected to a hydraulic pressure of 8×106N/m2. If the bulk modulus of glass is 3.7×101

Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −8×1063.7×1010≈−2.16×10−4. Magnitude: 2.16×10−4. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.16×10−4. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

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