Rain drop of mass | Work, Energy and Power | JEE MAIN_2026

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JEE MAIN_2026

06-04-26_S1

Question

The rain drop of mass 1 g , starts with zero velocity from a height of 1 km . It hits the ground with a speed of $5 \mathrm{~m} / \mathrm{s}$. The work done by the unknown resistive force is $\_\_\_\_$ J. (take $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

Select the correct option:

A

–8.75

B

–8.35

C

–9.35

D

–9.98

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \mathrm{w}_{\mathrm{g}}+\mathrm{w}_{\mathrm{res}}=\Delta \mathrm{k} \\ & \mathrm{mgh}+\mathrm{w}_{\mathrm{res}}=\frac{1}{2} \mathrm{mv}^2 \\ & \therefore \mathrm{w}_{\mathrm{res}}=\frac{1}{2} \mathrm{mv}^2-\mathrm{mgh} \\ & =10^{-3}\left(\frac{25}{2}-10^4\right) \\ & =-9.98 \mathrm{~J}\end{aligned}$

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