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A disc is rotating about its own axis with angular frequency 100 rpm. When a mass of 100 g is placed at l0 cm from its centre then its angular frequency becomes 50 rpm. The moment of inertia of the disc is :

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a

5 x 104 gcm2

b

104 gcm2

c

103 gcm2

d

105 gcm2

answer is B.

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Detailed Solution

By conservation of angular momentumI(100) = I(50) + 100 x (10)2(50) I = 104 gcm2

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A disc is rotating about its own axis with angular frequency 100 rpm. When a mass of 100 g is placed at l0 cm from its centre then its angular frequency becomes 50 rpm. The moment of inertia of the disc is :