A) 0.69
B) 0.46
C) 1.45
D) 2.1
Correct Answer: A
Solution :
According to Wiens law the product of wavelength corresponding to maximum intensity of radiation and temperature of body (in Kelvin) is constant, i.e, \[{{\lambda }_{m}}T=b=\text{constant}\text{.}\] \[\frac{{{({{\lambda }_{m}})}_{sun}}}{({{\lambda }_{m}})star}=\frac{{{T}_{star}}}{{{T}_{sun}}}\] Given, \[{{T}_{sun}}=510\,nm,{{T}_{star}}=350\,nm\] \[\therefore \] \[\frac{{{({{\lambda }_{m}})}_{sun}}}{{{({{\lambda }_{m}})}_{star}}}=\frac{350}{510}=0.69\] Note: This law is of great importance in Astrophysics as through the analysis of radiations coming from a distant star, by finding the temperature of the star\[T(=b/{{\lambda }_{m}})\]is determined.
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