The percentage errors in the measurement o

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The percentage errors in the measurement of mass and speed are $2\%$ and $3\%$ respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed  ......... $\%$

A

$12$

B

$8$

C

$2$

D

$10$

The percentage errors in the measurement of mass and speed are $2\%$ and $3\%$ respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed  ......... $\%$

$E = \frac{1}{2}m{v^2}$

$\%%$ Error in $K.E$. $= \%$ error in mass $+ 2 \times  \%$ error in velocity $= 2 + 2 \times 3 = 8 \%$