JEE Main 2025 — Mechanical Properties of Solids Question with Solution
JEE Main 2025 (8 Apr Shift 2)
Question
A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to change of volume of . If the bulk modulus of the liquid is 2 GPa , the initial volume of the liquid was _______ litre. Take
Enter your answer
Show full solutionCorrect answer: 4
Correct answer
4
Step-by-step explanation
Given, Initial pressure of liquid
Final pressure of liquid
Change in pressure
Change in volume
Bulk modulus
Now,
$\begin{aligned}
\Rightarrow & V=-2 \times 10^9 \times \frac{\left(-0.8 \times 10^{-6}\right)}{4 \times 10^5} \\ & =4 \times 10^{-3} \mathrm{~m}^3=4 \text { litre }
\end{aligned}$
Final pressure of liquid
Change in pressure
Change in volume
Bulk modulus
Now,
$\begin{aligned}
\Rightarrow & V=-2 \times 10^9 \times \frac{\left(-0.8 \times 10^{-6}\right)}{4 \times 10^5} \\ & =4 \times 10^{-3} \mathrm{~m}^3=4 \text { litre }
\end{aligned}$
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Mechanical Properties of Solids chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2025, covering the Mechanical Properties of Solids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.