If acceleration due to gravity (g) at height \( \mathrm{h} \ll \mathrm{R} \) (where \( \mathrm{R....

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If acceleration due to gravity (g) at height \( \mathrm{h} \ll \mathrm{R} \)
\( \mathrm{P} \)
(where \( \mathrm{R} \) is radius of earth) is \( \mathrm{g}_{\mathrm{h}}=\mathrm{g}_{0}\left(1+\frac{\mathrm{h}}{\mathrm{R}}\right)^{-2} \), then using binomial theorem which is correct
(1) \( g_{h}=g_{0} \)
(2) \( g_{h}=g_{0}\left(1-\frac{2 h}{R}\right) \)
(3) \( g_{h}=g_{0}\left(1+\frac{2 h}{R}\right) \)
(4) \( g_{h}=g_{0}\left(1-\frac{h}{2 R}\right) \)


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