A) \[0.69\]
B) \[0.46\]
C) \[1.45\]
D) \[2.1\]
Correct Answer: A
Solution :
According to Wien's law the product of wavelength corresponding to maximum intensity of radiation and temperature of body (in Kelvin) is constant, \[i.e.,\,\,T=b=\]constant. \[\frac{{{({{\lambda }_{m}})}_{sun}}}{{{({{\lambda }_{m}})}_{star}}}=\frac{{{T}_{star}}}{{{T}_{sun}}}\] 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 \[{{\lambda }_{m}}\] the temperature of the star\[T(=b/{{\lambda }_{m}})\]is determined.
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