RAJASTHAN ­ PET Rajasthan PET Solved Paper-2012

  • question_answer
    If two stars radiates maximum energy at wavelengths\[316\times {{10}^{-7}}m\]and\[4.8\times {{10}^{-7}}m\] respectively, then ratio of their temperatures T/T? will be

    A)  \[\frac{2}{3}\]

    B)  \[\frac{4}{3}\]

    C)  \[\frac{3}{4}\]

    D)  \[\frac{3}{2}\]

    Correct Answer: B

    Solution :

     Given,     \[{{\lambda }_{m}}=3.6\times {{10}^{-7}}m\] and          \[{{\lambda }_{m}}'=4.8\times {{10}^{-7}}m\] According to Wein's displacement law \[{{\lambda }_{m}}T={{\lambda }_{m}}'T'\]  (where T and T' be the temperature of two stars) \[\Rightarrow \] \[\frac{T}{T'}=\frac{{{\lambda }_{m}}'}{{{\lambda }_{m}}'}=\frac{4.8\times {{10}^{-7}}m}{3.6\times {{10}^{-7}}m}=\frac{4}{3}\]


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