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JEE Advanced 2020 Full Test 3 Paper 2
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© examsnet.com
Question : 3
Total: 54
A frictionless tunnel is dug along a chord of the earth at a perpendicular distance
R
2
from the centre of earth (where
R
is radius of earth). An object is released from one end of the tunnel. The correct graph, showing the variation of acceleration of particle with its distance
r
from centre of earth is
Validate
Solution:
Let mass of the earth is
M
e
and mass of object is
m
.
Force on object at
A
=
(
G
M
e
m
R
3
r
)
towards centre.
Force on object along the tunnel
=
(
G
M
e
m
R
3
r
)
√
r
2
−
R
2
4
r
Acceleration of object along the tunnel
=
(
G
M
e
R
3
)
√
r
2
−
R
2
4
© examsnet.com
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