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Q.

If mass and radius of a planet are half that of the earth, the acceleration due to gravity at its surface would be ( g on earth = 9.8 m/s2)

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a

4.9 m/s2

b

8.9 m/s2

c

19.6 m/s2

d

29.4 m/s2

answer is C.

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Detailed Solution

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g = GMR2     g α MR2

According to problem Mp = Me2 and Rp = Re2

gpge = (MpMe)(ReRp)2 = (12)×(2)2 = 2

  gp = 2ge = 2×9.8 = 19.6 m/s2

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