A physical quantity is related to four observations , , and as follows: The percentage errors of measurement in , , and are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity is

NEET UGPhysicsModerateNEET 2025

A physical quantity $P$ is related to four observations $a$ , $b$ , $c$ and $d$ as follows:
$P = a^3b^2 / c\sqrt{d}$

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

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Sol. Maximum % error in

P = \frac{\Delta P}{P} \times 100 = 3\left(\frac{\Delta a}{a} \times 100\right) + 2\left(\frac{\Delta b}{b} \times 100\right) + \left(\frac{\Delta c}{c} \times 100\right) + \frac{1}{2}\left(\frac{\Delta d}{d} \times 100\right)

= 3 \times (1) + 2 \times (3) + (2) + \frac{1}{2}(4)

= 13\%

Source: geekyrakshit/indian-exam-questions / neet2025-code45

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