Physics · Mechanical Properties of Matter
JEE Main 2024 — 6 April, Shift 1 — Question 52
A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is . The value of is .
Answer: 1
Numerical answer — enter this value.
Step-by-step solution
\begin{array}{*{35}{r}}{} & {} \\{} & {} \\{} & 1000\frac{4}{3}\pi {{\text{r}}^{3}}=\frac{4}{3}\pi {{\text{R}}^{3}} \\{} & 10\text{r}=\text{R} \\{} & \text{R}=10\text{r} \\{} & \frac{\text{ }\!\!~\!\!\text{ S}\text{.E}\text{. }\!\!~\!\!\text{ of }\!\!~\!\!\text{ }1000\text{ }\!\!~\!\!\text{ drops }\!\!~\!\!\text{ }}{\text{ }\!\!~\!\!\text{ S}\text{.E}\text{. }\!\!~\!\!\text{ of }\!\!~\!\!\text{ Big }\!\!~\!\!\text{ drop }\!\!~\!\!\text{ }}=\frac{1000\left( 4\pi {{r}^{2}} \right)T}{4\pi {{R}^{2}}T}\\{}&~=\frac{1000\times{{\text{r}}^{2}}}{{{(10\text{r})}^{2}}}=10=\frac{10}{\text{x}} \\{} & ~\therefore \text{ }\!\!~\!\!\text{ x}=1 \\\end{array}
Answer key and solution verified before publishing.
Practise Mechanical Properties of Matter
Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.
- Exam
- JEE Main 2024
- Paper
- 6 April, Shift 1
- Subject
- Physics
- Chapter
- Mechanical Properties of Matter
- Topic
- Surface Tension and Surface Energy