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Explanation:
Acceleration due to gravity of earth,
g=G×
R
2
M
=9.8m/s
2
If mass of planet, m = M/2
And radius of planet, r= R/2
Acceleration due to gravity on the surface of planet will be:
g=G×
r
2
m
----------(i)
m=
2
M
------------(ii)
r=
2
R
--------(iii)
Put (ii) and (iii) in (i) eq. we get
g=G×
(
2
R
)
2
2
M
=
2
4
×(G×
R
2
M
)
g=2×9.8m/s
2
g=19.6m/s
2
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