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MHT CET202016 Oct 2020Evening ShiftPhysicsThermal Properties of MatterActual

Two spherical black bodies of radius ' r ₁ ' and ' r ₂ ' with surface temperature ' T ₁ ' and ^ T ₂ ' respectively, radiate same power, then r ₁: r ₂ is

Options

  1. A( T ₂ ~T ₁ )²
  2. B( T ₁ ~T ₂ )⁴
  3. C( T ₁ ~T ₂ )²
  4. D( T ₂ ~T ₁ )⁴

Correct answer

A. ( T ₂ ~T ₁ )²

Step-by-step solution

(A) 4 r₁² T₁⁴=4 r₂² T₂⁴ r₁² r₂² = T₂⁴ T₁⁴ r₁ r₂ = T₂² T₁²

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