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$10$
AIPMT 1995, Medium
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B$8$
b $E = \frac{1}{2}m{v^2}$
$\%%$ Error in $K.E$. $= \%$ error in mass $+ 2 \times \%$ error in velocity $= 2 + 2 \times 3 = 8 \%$
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