The resistance of a conductor is R = V/I where voltage V = 100 ± 5 V and current I = 10 ± 0.2 A. The error in the calculation of R is (a) 5% (b) 7% (c) 5.2% (d) 2.5%

Answer: (b). (Δ R)/(R) = (Δ V)/(V) + (Δ I)/(I) = 5/100 + 0.2/10 = 5% + 2% = 7% So the answer is (b) 7%.

The resistance of a conductor is R = V/I where voltage V = 100 ± 5 V… | MHT CET 2026 (13 May, Shift 2)

Q7MHT CET 2026 · 13 MAY · SHIFT 2Easy

Errors in Measurement

The resistance of a conductor is $R = V/I$ where voltage $V = 100 \pm 5$ V and current $I = 10 \pm 0.2$ A. The error in the calculation of $R$ is

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Answer: (b)

$\frac{\Delta R}{R} = \frac{\Delta V}{V} + \frac{\Delta I}{I} = \frac{5}{100} + \frac{0.2}{10}$
$= 5\% + 2\% = 7\%$
So the answer is (b) $7\%$ .

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