A) 1 : 30
B) 30 : 1
C) 42 : 14
D) 14 : 42
Correct Answer: B
Solution :
From Wein's law \[{{\lambda }_{m}}T=constant\] where\[{{\lambda }_{m}}\]is maximum wavelength and T the absolute temperature. Given, \[{{\lambda }_{1}}=140,\,\] \[{{\lambda }_{2}}=4200{\AA}\] \[\therefore \] \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{140}{4200}\] \[\Rightarrow \] \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{1}{30}\] \[\Rightarrow \] \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{30}{1}\]
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