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Physics · UNITS AND MEASUREMENT
हिन्दीIn an experiment, four quantities \( a, b, c \) and \( d \) are measured with percentage errors \( 1\% \), \( 2\% \), \( 3\% \) and \( 4\% \) respectively. Quantity \( P \) is calculated as \( P = \frac{a^3 b^2}{\sqrt{c} d} \). The maximum percentage error in \( P \) is:
Correct answer · Option 1
\( 12.5\% \)
Explanation
\( \frac{\Delta P}{P} \times 100 = 3\frac{\Delta a}{a}\% + 2\frac{\Delta b}{b}\% + \frac{1}{2}\frac{\Delta c}{c}\% + \frac{\Delta d}{d}\% = 3(1\%) + 2(2\%) + \frac{1}{2}(3\%) + 1(4\%) = 3 + 4 + 1.5 + 4 = 12.5\% \).
