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First Order Reaction

The percentag...

Question

The percentage error in the measurement of mass and speed are 2% and 3% respectively. The maximum percentage error in the estimation of kinetic energy of a body will be:

A

11%

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B

8%

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C

5%

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D

1%

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Solution

The correct option is B 8%
$K . E = \frac{1}{2} m v^{2}$

$\frac{△ K . E}{K . E} = \frac{△ m}{m} + 2 \frac{△ v}{v}$
$= 2 + 2 (3) = 8$ %

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