A) \[4000\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[3000\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: D
Solution :
According to Wiens 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, \[T=1227+273=1500K\] \[T=1227+1000+273=2500K\] \[{{\lambda }_{m}}=5000\overset{\text{o}}{\mathop{\text{A}}}\,\] Hence, \[\lambda {{}_{m}}=\frac{1500}{2500}\times 5000=3000\overset{\text{o}}{\mathop{\text{A}}}\,\]
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