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MHT CET202411 May 2024Morning ShiftPhysicsThermal Properties of MatterActual

Two spheres S ₁ and S ₂ have same radii but temperatures T₁ and T₂ respectively. Their emissive power is same and emissivity in the ratio 1:4. Then the ratio T₁: T₂ is

Options

  1. A2: 1
  2. B2 : 1
  3. C1: 2
  4. D1: 2

Correct answer

B. 2 : 1

Step-by-step solution

Given: Q ₁ ~A ₁ t = Q ₂ ~A ₂ t But A₁=A₂ as radii are same array ll & Q ₁= Q ₂ & e ₁ AT ₁^4= e ₂ AT ₂^4 & ~T ₁^4 ~T ₂^4 = e ₂ e ₁ = 4 1 & ~T ₁ ~T ₂ = ( 4 1 )^ 1 4 = 2 1 array

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