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JEE Main Physics Class 11 System of Particles and Rotational Motion Part 2 Questions
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Question : 59
Total: 100
Moment of inertia (M.I.) of four bodies, having same mass and radius, are reported as;
I
1
=
M.I. of thin circular ring about its diameter,
I
2
=
M.I. of circular disc about an axis perpendicular to the disc and going through the centre,
I
3
=
M.I. of solid cylinder about its axis and
I
4
=
M.I. of solid sphere about its diameter. Then :
[24feb2021shift1]
I
1
+
I
3
<
I
2
+
I
4
I
1
+
I
2
=
I
3
+
5
2
I
4
I
1
=
I
2
=
I
3
>
I
4
I
1
=
I
2
=
I
3
<
I
4
Validate
Solution:
Moment of inertia of ring about its diameter,
I
1
=
M
R
2
2
Moment of inertia of disc,
I
2
=
M
R
2
2
Moment of inertia of solid cylinder,
I
3
=
M
R
2
2
Moment of inertia of solid sphere,
I
4
=
2
5
M
R
2
∴
I
1
=
I
2
=
I
3
>
I
4
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