A) \[4000\overset{o}{\mathop{\text{A}}}\,\]
B) \[5000\,\overset{o}{\mathop{A}}\,\]
C) \[6000\,\overset{o}{\mathop{A}}\,\]
D) \[3000\,\overset{o}{\mathop{A}}\,\]
Correct Answer: D
Solution :
Key Idea: The product of wavelength corresponding to maximum intensity of radiation and temperature of the body in Kelvin is constant. According to Wien's law \[{{\lambda }_{m}}T\]= constant (say b) where \[{{\lambda }_{m}}\] is wavelength corresponding to maximum intensity of radiation and T is temperature of the body in Kelvin. \[\therefore \frac{{{\lambda }_{m'}}}{{{\lambda }_{m}}}=\frac{T}{T'}\] Given, \[T=1227+273=1500\,K,\] \[T'=1227+1000+273=2500\,K\] \[{{\lambda }_{m}}=5000\,{\AA}\] Hence, \[{{\lambda }_{m'}}=\frac{1500}{2500}\times 5000=3000\,{\AA}\]
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