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Heat And Thermodynamics Ques 58
- The intensity of radiation emitted by the sun has its maximum value at a wavelength of $510 nm$ and that emitted by the north star has the maximum value at $350 nm$. If these stars behave like black bodies, then the ratio of the surface temperature of the sun and the north star is
(1997, 1M)
(a) 1.46
(b) 0.69
(c) 1.21
(d) 0.83
Show Answer
Answer:
Correct Answer: 58.(b)
Solution:
- From Wien’s displacement law
$$ \lambda_m T=\text { constant } $$
$$ \begin{aligned} T & =\frac{1}{\lambda_ m} \ \therefore \quad \frac{T_ {\text {san }}}{T_ {\text {north star }}} & =\frac{(\lambda_ m)_ {\text {north star }}}{(\lambda_ m)_ {\text {san }}} \ & =\frac{350}{510} \approx 0.69 \end{aligned} $$
BETA
