A) \[4000\text{ }{\AA}\]
B) \[5000\text{ }{\AA}\]
C) \[6000\text{ }{\AA}\]
D) \[3000\text{ }{\AA}\]
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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