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MHT CET 2026 (14 May, Shift 1) · Errors in Measurement

Errors in Measurement question from MHT CET 2026 (14 May, Shift 1)

Q6MHT CET 2026 · 14 MAY · SHIFT 1Easy

Errors in Measurement

If the error in the measurement of volume of the sphere is $6\%$ then the error in the measurement of its surface area will be

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Answer: (c)

$V \propto r^{3} \Rightarrow 3\frac{\Delta r}{r} = 6\% \Rightarrow \frac{\Delta r}{r} = 2\%$
$A \propto r^{2} \Rightarrow \frac{\Delta A}{A} = 2 \times 2\% = 4\%$
So the answer is (c) $4\%$ .

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