First slide

Accuracy; precision of instruments and errors in measurements

Question

During measurement of kinetic energy , the percentage error in measurement of mass of particle and momentum of particle are 2% and 3%, respectively. The percentage error in measurement of kinetic energy is ________________.

Easy

Solution

Let Kinetic energy be T, then
$∵ T = \frac{p^{2}}{2 m} or \frac{Δ T}{T} = 2 \frac{Δ p}{p} + \frac{Δ m}{m}$
Percentage error in kinetic energy is
$\begin{array}{l} = 2 \times 2 + 3 = 7 % \\ ∴ n = 7 \end{array}$

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