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JEE Advanced 2015 Question Paper 2 with solutions for online practice
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© examsnet.com
Question : 2
Total: 60
A large spherical mass M is fixed at one position ad two identical point masses m are kept on a line passing through the center of M (see figure).The point masses are connected by a rigid massless rod of length
l
and this assembly is free to move along the line connecting them.all three masses interact only through their mutual gravitational interaction.when the point nearer to M is at distance
r
=
3
l
from M.the tension in the rod is zero
m
=
k
(
M
288
)
.
The value of k is
Your Answer:
Validate
Solution:
For m closer to M
G
M
m
9
l
2
−
G
m
2
l
2
=
m
a
......(i)
and for the order m:
G
m
2
l
2
+
G
M
m
16
l
2
=
m
a
......(ii)
From both the equations,
k=7
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