Question

Of two balls of identical mass and diameter one is hollow and the other solid. The moment of inertia of the hollow sphere compared to that of the solid sphere is:
a) Higher
b) Lower
c) The same
d) cannot be determined with the information provided.

Answer 1

a) higher

Answer 2

Hi ruchi u really should try to get the Idea about the moment of inertia (If that intrest u...)
The momenet of inteia is a meausre to - How difficult it will be to spin this body
Just like mass is a measure of how difficulte will it be to move this body.

now if I have a poll with two masses on its end like this

and it is pinned in the middle
What deterimns if it easy or hard to spin?
So, The mass on its ends,(M) and the distance from the center to the masses.
If the masses are closer there is less lever and it easier to spin.

So I (moment of inertia) this is given by I=\[\sum_{i} M _{i}R ^{2}\]
thats just saying the same.
Now If u think of the Ball, If all the mass is on the sphere its far as possible from the center and it is Hardest to spin or roll = It has the highest possible moment of inertia for this shape and mass.

Good luck!
Enjoy :)
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