The moment of inertia of a solid sphere is 10kgm^2. What will be the moment of inertia of a very thin spherical shell of the same mass and radius as that of the solid sphere?

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Editor">Editor Staff asked 1 year ago

The moment of inertia of a solid sphere is 10kgm^2. What will be the moment of inertia of a very thin spherical shell of the same mass and radius as that of the solid sphere?
 
(a) 16.67kgm^2
 
(b) 6kgm^2
 
(c) 10kgm^2
 
(d) 20kgm^2
 
The question was asked at a job interview.
 
My question is based upon Moment of Inertia in section System of Particles and Rotational Motion of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

Correct option is (a) 16.67kgm^2
 
Easiest explanation: Moment of inertia of solid sphere ‘I1’ = 2/5 MR^2 = 10kgm^2.
 
Moment of inertia of thin spherical shell ‘I2’= 2/3 MR^2.
 
∴  I2 = 5/3I1
 
= 5/3 * 10 = 16.67kgm^2.

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