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MHT CET2009PhysicsRotational Motion

Moment of inertia of big drop is I . If 8 droplets are formed from big drop, then moment of inertia of small droplet is

Options

  1. AI 32
  2. BI 16
  3. CI 8
  4. DI 4

Correct answer

A. I 32

Step-by-step solution

Moment of inertia of big drop is I= 2 5 M R² When small droplets are formed from big drop volume of liquid remain same aligned n 4 3 r³ &= 4 3 R³ n^ 1 / 3 r &=R as n=8 r= R 2 aligned Mass of each small droplet = M 8 Moment of inertia of each small droplet array l = 2 5 [ M 8 ] [ R 2 ]² = 1 32 [ 2 5 M R² ]= I 32 array

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