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$Assertion$ : When percentage errors in the measurement of mass and velocity are $1\%$ and $2\%$ respectively, the percentage error in $K.E.$ is $5\%$.
$Reason$ : $\frac{{\Delta E}}{E} = \frac{{\Delta m}}{m} + \frac{{2\Delta v}}{v}$
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
If the Assertion is correct but Reason is incorrect.
If both the Assertion and Reason are incorrect.
Solution
$\begin{array}{l}
Both\,Assertion\,and\,{\rm{Reason}}\,correct\,and\,{\rm{Reason}}\,is\,the\,correct\\
{\rm{explanation}}\,of\,Assertion.\\
Kinetic\,energy,\,E = \frac{1}{2}m{v^2}\\
Differenting\,both\,side\,\\
\frac{{\Delta E}}{E} = \frac{{\Delta m}}{m} + \frac{{2\Delta v}}{v}\\
\frac{{\Delta E}}{E} = \frac{1}{{100}} + 2 \times \frac{2}{{100}} = \frac{5}{{100}} = 5\%
\end{array}$
