QJEEM18Ph2033: JEE Main 2018 Physics - Class 11 JEEM18Ph2033 Solution: The relative error in the determination of the surface area of…

Question

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The relative error in the determination of the surface area of sphere is

α

. Then the relative error in the determination of its volume is :

Accepted Answer

Relative error in the surface are of the sphere,

\frac{Δ S}{S}

= 2

\times

\frac{Δ r}{r}

=

\propto

(given)

Relative error in volume,

\frac{Δ V}{V}

= 3

\times

\frac{Δ r}{r}

= 3

\times

\frac{1}{2}

\times

\frac{Δ S}{S}

=

\frac{3}{2}

\times

\propto

=

\frac{3}{2}

\propto

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