The error in the measurement of the radius of the spheres by using vernier calipers is 0.3%. The permissible error in the measurement of surface area is:

0.6 %

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1.2 %

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1.8 %

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0.9 %

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Solution

The correct option is A 0.6 %
Since, $A \propto r^{2}$
$\frac{Δ A}{A} = \frac{2 Δ r}{r} = 0.6$ %

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The error in the measurement of the radius of a sphere is $0.5$ %. Find the permissible error in the measurement of surface area?

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