WBJEE · Physics · Thermal Properties of Matter
Two black bodies at temperatures \(327^{\circ} \mathrm{C}\) and \(427^{\circ} \mathrm{C}\) are kept in an evacuated chamber at \(27^{\circ} \mathrm{C}\). The ratio of their rates of loss of heat are :
- A \(\frac{6}{7}\)
- B \(\left(\frac{6}{7}\right)^2\)
- C \(\left(\frac{6}{7}\right)^3\)
- D \(\frac{243}{464}\)
Answer & Solution
Correct Answer
(D) \(\frac{243}{464}\)
Step-by-step Solution
Detailed explanation
Hints: Rate ofloss of heat \(\propto\left(\mathrm{T}^4-\mathrm{T}_0^4\right)\) \[ \frac{\mathrm{E}_1}{\mathrm{E}_2}=\frac{\mathrm{T}_1^4-\mathrm{T}_0^4}{\mathrm{~T}_2^4-\mathrm{T}_0^4}=\frac{(600)^4-(300)^4}{(700)^4-(300)^4}=\frac{6^4-3^4}{7^4-3^4} \]…
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