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