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KEAM 2018 Physics and Chemistry Paper
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© examsnet.com
Question : 7
Total: 120
Two planets A and B have the same average density. Their radii
R
A
and
R
B
are such that
R
A
:
R
B
=
3
:
1.
If
g
A
and
g
B
are the acceleration due to gravity at the surfaces of the planets, the
g
A
:
g
B
equals
3
:
1
1
:
3
9
:
1
1
:
9
√
3
:
1
Validate
Solution:
Given,
R
A
R
B
=
3
1
....(i)
and
ρ
A
=
ρ
B
.....(ii)
∵
Average density,
ρ
=
3
g
4
π
R
G
∴
From Eq. (ii),
⇒
3
g
A
4
π
R
A
G
=
3
g
B
4
π
R
B
G
⇒
g
A
g
B
=
R
A
R
B
From Eq. (i).
g
A
g
B
=
3
1
© examsnet.com
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