A certain pressure P is applied separately to 1 litre of water and 2 litre of another liquid. Water gets compressed by 0.01% whereas the liquid gets compressed by 0.03%. The ratio of bulk modulus of water to that of liquid is 3/x. The value of x is ______.
Physics · Circular Motion
JEE Mains 1 February 2023 Shift 1 Morning Shift

Question

A certain pressure P is applied separately to 1 litre of water and 2 litre of another liquid. Water gets compressed by 0.01% whereas the liquid gets compressed by 0.03%. The ratio of bulk modulus of water to that of liquid is 3/x. The value of x is ______.

Physics · Circular Motion

G1 Physics · Accepted Answer

Bulk modulus B = −ΔP/(ΔV/V). For the same applied pressure, B(water)/B(liquid) = 0.03/0.01 = 3. Therefore 3/x = 3, so x=1.