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1.Units, Dimensions and Measurement
medium
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)
Solution
$E = \frac{1}{2}m{v^2}$
$\%%$ Error in $K.E$. $= \%$ error in mass $+ 2 \times \%$ error in velocity $= 2 + 2 \times 3 = 8 \%$
Standard 11
Physics