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Physics · PYQ NEET UG 2025
हिन्दीA physical quantity \( P \) is related to four observations \( a \), \( b \), \( c \) and \( d \) as follows: \( P = \frac{a^3 b^2}{c \sqrt{d}} \). The percentage errors of measurement in \( a \), \( b \), \( c \) and \( d \) are \( 1\% \), \( 3\% \), \( 2\% \), and \( 4\% \) respectively. The percentage error in the quantity \( P \) is
Correct answer · Option 3
\( 13\% \)
Explanation
\( \frac{\Delta P}{P} = 3\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + \frac{\Delta c}{c} + \frac{1}{2}\frac{\Delta d}{d} = 3(1\%) + 2(3\%) + 1(2\%) + \frac{1}{2}(4\%) = 3 + 6 + 2 + 2 = 13\% \).
