The energy of a system as a function of time is given as where

PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

The energy of a system as a function of time

t

is given as

E(t) = A^2 \exp(-\alpha t)

where

\alpha = 0.2 \text{ s}^{-1}

. The measurement of

A

has an error of 1.25%. If the error in the measurement of time is 1.50%, find the percentage error in the value of

E(t)

t = 5