Question

Momentum of a body is measured as $P=mv$. If percentage error in measurement of mass is $2\%$ and error in measurement of velocity is $50\%$. Then maximum error in measurement of momentum will be

Answer 1

Answer (2)
$P=mv$
$P^{\prime }=\left(1.02m\right)$ (3/2 v)
$P^{\prime }=1.53$ P
Then $\frac{\Delta P}{P}\times 100=\frac{P^{\prime }-P}{P}\times 100=53\%$