A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is 17 and radius is half that of the earth
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a
200 gm wt
b
400 gm wt
c
50 gm wt
d
300 gm wt
answer is B.
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Detailed Solution
W=mg=700gwt ----(1)We know thatg=GMR2On the planetgp=GMpRp2=GM/7R22=GM4R27=47g∵g=GMR2Hence weight on the planet=mgp==m4g7=700×47=400 g wt from (1)