A rigid metallic sphere is spinning around its own axis in the absence of external torque. If the temperature is raised, its volume increases by 9 \%. The change in its angular speed is

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Accepted Answer

Correct answer: D. (d) Taken, v=1 v^ '=1.09 and v=0.09 ⇒ ∝ 1I( ∵J= Iω ⇒I ∝ 1 )But I ∝r^2 and ∝ ^1/3 ∴ ∝ 1v^2/3 (or v^-2/3 ) ⇒ = kv^-2/3 ,k= cons ∴ Change in angular speed = 100=- 23 vv 100 =- 23 0.09 100=-6 \%So decrease in angular speed is 6 \%

$A rigid metallic sphere is spinning around its own axis in the absence of external torque. If the temperature is raised, its volume increases by 9 % . The change in its angular speed is$

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