If linear momentum is increased by 5% , kinetic energy will increase by....... %

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5.Work, Energy, Power and Collision

easy

If the linear momentum is increased by $5\%$, the kinetic energy will increase by.......$\%$

A

$50$

B

$100$

C

$125$

D

$10$

(AIIMS-2014) (AIIMS-2013)

Solution

$\begin{array}{l}
As\,E = \frac{{{p^2}}}{{2\,m}}\\
\therefore \,\frac{{dE}}{E} = 2\left( {\frac{{dp}}{p}} \right) = 2 \times 5\% = 10\%
\end{array}$

Standard 11

Physics

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