A certain pressure ' P ' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to 0 . 01 % whereas the liquid gets compressed to 0 . 03 % . The ratio of Bulk modulus of water to that of the liquid is 3 x . The value of x is ______.

Step-by-step solution

Bulk modulus is given by B = - Δ P Δ V V Now, in case of water, B water = - Δ P Δ V V = - Δ P 0 . 01 100 In case of liquid, B liquid = - Δ P 0 . 03 100 Thus, the ratio B water B liquid = - Δ P 0 . 0001 - Δ P 0 . 0003 = 3 Hence, the value of x = 1 .