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JEE Main Physics Class 11 Gravitation Part 1 Questions
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© examsnet.com
Question : 9
Total: 100
In the reported figure of Earth, the value of acceleration due to gravity is same at point
A
and
C
but it is smaller than that of its value at point
B
(surface of the Earth). The value of
O
A
:
A
B
will be
x
:
y
. The value of
x
is .......... .
[26 Feb 2021 Shift 2]
Your Answer:
Validate
Solution:
Given,
g
A
=
g
C
Radius of Earth,
R
=
6400
k
m
Height,
h
=
3200
k
m
=
R
2
Since,
g
=
G
M
R
2
where,
G
is gravitational constant.
∴
g
A
=
G
M
(
O
A
)
R
3
. . . (i)
and
g
C
=
G
M
(
O
C
)
2
=
G
M
R
+
h
=
G
M
(
R
+
R
∕
2
)
2
=
G
M
(
3
R
∕
2
)
2
. . . (ii)
According to given information from Eqs. (i) and (ii), we get
⇒
O
A
=
4
9
R
=
4
9
×
6400
A
B
=
O
B
−
O
A
and
A
B
=
6400
−
4
9
×
6400
⇒
=
6400
(
1
−
4
∕
9
)
=
6400
×
5
∕
9
Now,
O
A
:
A
B
=
6400
×
4
∕
9
5
∕
9
×
6400
=
4
5
Hence,
x
=
4
© examsnet.com
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