Q 11-08-113JEE MainJEE Main 2025 (8 Apr, Shift 2)Easy
A sample of a liquid is kept at $1\ \text{atm}$. It is compressed to $5\ \text{atm}$, which leads to a change of volume of $0.8\ \text{cm}^3$. If the bulk modulus of the liquid is $2\ \text{GPa}$, the initial volume of the liquid was ______ litre. (Take $1\ \text{atm} = 10^5\ \text{Pa}$)
Numerical value type. Enter your answer.
Answer: 4
$$B = \frac{\Delta P}{|\Delta V|/V} \Rightarrow V = \frac{B|\Delta V|}{\Delta P} = \frac{2\times10^9\times0.8\times10^{-6}}{4\times10^5} = 4\times10^{-3}\ \text{m}^3 = 4\ \text{L}$$
Solution by Sreeraj P, M.Sc Physics