The moment of inertia of a body is I and its coefficient of linear expansion is α if the temperature of the body rises by a small amount Δ T . Then change in the moment of inertia about the same axis is

Question

The moment of inertia of a body is I and its coefficient of linear expansion is α if the temperature of the body rises by a small amount Δ T . Then change in the moment of inertia about the same axis is, α I Δ T, 2 α I Δ T, 4 α I Δ T, α I Δ T 2

MARKS App · Accepted Answer

Let I = m r 2 and ∆ r = r α ∆ T Δ I I = 2 Δ r r = 2 α Δ T or Δ I = 2 α I Δ T

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