Question

A In an experiment, four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4%, respectively. Quantity P is calculated as follows P = a³b²/cd percentage error in P is ​

Answer 1

Solution:-

$p = \frac{a {}^{3} {b}^{2} }{cd}$

$= > \frac{Δp}{p} = 3$

$\binom{Δa}{a} \times 100) + 2( \frac{Δb}{b} \times 100) + ( \frac{Δc}{c} + 100) + ( \frac{Δd}{d} \times 100)$

$= > 3 \times 1 + 2 \times 2 + 3 + 4$

$= > 3 \times 4 + 3 + 4 = 14\%$