The mass of a planet is half that of the earth and the Radius of planet is one fourth that of the earth. If we plan to send an artificial satellite from the planet, the escape velocity will be nearly (V_e of earth is 11 kms^-1)

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11 kms^-1

5.5 kms^-1

15.5 kms^-1

7.7 kms^-1

answer is C.

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Detailed Solution

$\begin{array}{l} V_{e} = \sqrt{\frac{2 GM'}{R'}} = \sqrt{\frac{2 G (\frac{M}{2})}{\frac{R}{4}}} \\ = \sqrt{2} \times 11.2 = 15.5 {kms}^{- 1} \end{array}$

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