MHT CET · Physics · Thermal Properties of Matter
Two bodies A and B at temperatures ' \(\mathrm{T}_1{ }^{\prime} \mathrm{K}\) and ' \(\mathrm{T}_2{ }^{\prime} \mathrm{K}\) respectively have the same dimensions. Their emissivities are in the ratio \(16: 1\). At \(\mathrm{T}_1=\mathrm{x} \mathrm{T}_2\), they radiate the same amount of heat per unit area per unit time. The value of \(x\) is
- A \(8\)
- B \(4\)
- C \(2\)
- D \(0.5\)
Answer & Solution
Correct Answer
(D) \(0.5\)
Step-by-step Solution
Detailed explanation
\(e_A \sigma T_A^4 = e_B \sigma T_B^4\) \(16 (x T_2)^4 = 1 (T_2)^4\)
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