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Physics - Error Question with Solution | TestHub

PhysicsErrorMiscellaneousEasy2 minPYQ_2018

PhysicsEasysingle choice

The relative error in the determination of the surface area of a sphere is $α$ . The relative error in the determination of its volume is

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Answer:

Solution:

$\frac{Δ s}{s} = 2 \times \frac{Δ r}{r}$ $\Rightarrow \frac{Δ V}{V} = 3 \times \frac{Δ r}{r}$

$\begin{array}{l} ∴ \frac{Δ V}{V} = \frac{3}{2} \frac{Δ s}{s} \\ \frac{Δ V}{V} = \frac{3}{2} α \end{array}$

Stream:JEESubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2018

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