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MHTCET 2016 Physics Solved Paper
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© examsnet.com
Question : 44
Total: 50
A disc of radius R and thickness
R
6
has moment o of inertia/ about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is
l
5
l
6
l
32
l
64
Validate
Solution:
(a) M.O.I. of disc
I
=
M
R
2
2
When the disc is melted into solid sphere, then volume remains same.
∴ Volume of disc = Volume of solid sphere
π
R
2
×
R
6
=
4
3
π
i
r
3
⇒
r
3
=
R
3
8
⇒
r
=
R
2
M.O.I. of solid sphere
2
5
m
r
2
=
2
5
×
m
×
R
2
4
=
m
R
2
10
=
I
5
[I = moment of inertia of disc =
M
R
2
2
]
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