Question

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Answer 1

Answer:

ω₂ = n²ω

Explanation:

From the given information, Let radius of the sphere = r

radius of the sphere after cooling = r × 1/n = r/n

now, according to the law of conservation of angular momentum,

L₁ = L₂

=> I₁ω = I₂ω₂

=> 2/5 mr²ω = 2/5 m(r/n)²ω₂

=> r²ω = (r/n)²ω₂

=> ω₂ = r²ω(n/r)²

=> ω₂ = ω(n)²

=> ω₂ = ωn²