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Gravitation
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Variation in Value of Acceleration due to Gravity
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The depth 'd' at which the value of acce
Question
The depth
′
d
′
at which the value of acceleration due to gravity becomes
n
1
times the value at the earth's surface is
(
R
=
radius of earth)
A
d
=
R
(
n
−
1
n
)
B
d
=
R
(
n
n
−
1
)
C
d
=
R
(
2
n
n
−
1
)
D
d
=
R
2
(
n
n
−
1
)
Medium
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is B)
Acceleration due to gravity at a depth
d
under the earth surface
g
′
=
g
s
(
1
−
R
d
)
Given :
g
′
=
n
g
s
∴
n
g
s
=
g
s
(
1
−
R
d
)
Or
n
1
=
(
1
−
R
d
)
⟹
d
=
R
(
n
n
−
1
)
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