A) \[7219.5{}^\circ C\]
B) \[6219.5{}^\circ C\]
C) \[6319.5{}^\circ C\]
D) None of these
Correct Answer: B
Solution :
From Wiens displacement law \[{{\lambda }_{m}}T=\] constant Given, \[{{T}_{1}}={{2324}^{o}}C=2597\,\,K\], \[{{\lambda }_{{{m}_{1}}}}12000\,\overset{o}{\mathop{A}}\,\], \[{{\lambda }_{{{m}_{2}}}}48000\,\overset{o}{\mathop{A}}\,\] \[\therefore \] \[{{\lambda }_{{{m}_{1}}}}{{T}_{1}}={{\lambda }_{{{m}_{2}}}}{{T}_{2}}\] \[\Rightarrow \] \[{{T}_{2}}=\frac{{{\lambda }_{{{m}_{1}}}}}{{{\lambda }_{{{m}_{2}}}}}{{T}_{1}}\] \[{{T}_{2}}=\frac{12000}{4800}\times 2597\] = 6492.5 K \[\Rightarrow \] \[{{T}_{2}}={{(6492.5-273)}^{o}}C\] \[={{6219.5}^{o}}C\]
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