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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^2The 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

Answer»

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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