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Standard XII

Physics

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What is the p...

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What is the percentage change in the value of $g$ on shifting from equator to poles on the Earth's surface? ( Difference in radius of Earth at poles and equator is 21 km )

4.5%

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0.65%

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0.05%

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0.43%

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Solution

The correct option is C 0.65%
$g = \frac{G M}{R^{2}}$
$⟹ Δ g = \frac{- 2 G M}{R^{3}} (Δ R)$
$\Rightarrow \frac{Δ g}{g} \times$ 100 $= - 2 (\frac{Δ R}{R}) \times 100 = - 2 \times \frac{21}{6400} \times$ 100 $= 0.65 %$

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What is the percentage change in the value of g on shifting from equator to poles on the Earth's surface? ( Difference in radius of Earth at poles and equator is 21 km )

The correct option is C 0.65%g=GMR2⟹Δg=−2GMR3(ΔR)⇒Δgg×100 =−2(ΔRR)×100=−2×216400×100 =0.65%

What is the percentage change in the value of $g$ on shifting from equator to poles on the Earth's surface? ( Difference in radius of Earth at poles and equator is 21 km )

The correct option is C 0.65%
$g = \frac{G M}{R^{2}}$
$⟹ Δ g = \frac{- 2 G M}{R^{3}} (Δ R)$
$\Rightarrow \frac{Δ g}{g} \times$ 100 $= - 2 (\frac{Δ R}{R}) \times 100 = - 2 \times \frac{21}{6400} \times$ 100 $= 0.65 %$