TS EAMCET · Physics · Thermal Properties of Matter
When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from \(0.26 \mu \mathrm{m}\) to \(0.13 \mu \mathrm{m}\). The ratio of the emissive powers of the body at the respective temperature is
- A \(\frac{16}{1}\)
- B \(\frac{4}{1}\)
- C \(\frac{1}{4}\)
- D \(\frac{1}{16}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{16}\)
Step-by-step Solution
Detailed explanation
\[ \lambda_1=0.26 \mu \mathrm{m}, \lambda_2=0.13 \mu \mathrm{m} \] From Wein's displacement law. \[ \begin{aligned} \lambda T & =\text { constant } \\ \lambda_1 T_1 & =\lambda_2 T_2 \\ \frac{T_1}{T_2} & =\frac{\lambda_2}{\lambda_1}=\frac{0.13}{0.26}=\frac{1}{2} \end{aligned} \]…
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