If momentum of body increased |WorkEnergyandPowerJEEMain2022

Back

JEE MAIN 2022

29-07-2022 S2

Question

If momentum of a body is increased by 20%, then its kinetic energy increases by :

Select the correct option:

36%

40%

44%

48%

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & P^{\prime}=P+\frac{20}{100} P=1.2 P \\ & \% \text { change in } K E=\frac{K^{\prime}-K}{K} \times 100 \\ & =\left(\frac{\frac{P^2}{2 m}-\frac{P^2}{2 m}}{\frac{P^2}{2 m}}\right) \times 100 \\ & =\left[(1.2)^2-1\right] \times 100 \\ & =44 \%\end{aligned}$

Question Tags

JEE Main

Physics

Easy

Start Preparing for JEE with Competishun

Report Issue