Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The radii of two mercury drops are $R_1$ and $R_2$. Under isothermal conditions, a single drop of radius $R$ is formed from them. The relations between $R, R_1$ and $R_2$ is
PhysicsMechanical Properties of FluidsMHT CETMHT CET 2022 (11 Aug Shift 1)
Options:
  • A $R^2=R_1^2+R_2^2$
  • B $R=R_1+R_2$
  • C $R=\frac{R_1+R_2}{2}$
  • D $R^3=R_1^3+R_2^3$
Solution:
2234 Upvotes Verified Answer
The correct answer is: $R^3=R_1^3+R_2^3$
Total volume remains same,
$\begin{aligned}
& \frac{4}{3} \pi R^3=\frac{4}{3} \pi R_1^3+\frac{4}{3} \pi R_2^3 \\
& R^3=R_1^3+R_2^3
\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.