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Q.

A body weighs 700g wt on the surface of the earth , How much will it weight on the surface of a planet whose mass is 1/7 and radius is half that of the earth

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a

50 g wt

b

400 g wt

c

300 g wt

d

200 g wt

answer is B.

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Detailed Solution

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$g = \frac{GM}{R^{2}}$

$g^{1} = \frac{GM}{(R / 2)^{2}}$

${mg}^{1} = m \frac{4}{7} \frac{GM}{R^{2}}$

$mg' = \frac{4}{7} (700) = 400 g w$

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