JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Critical Thinking

  • question_answer
    The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature is needed to excite hydrogen atoms to first excited level, is                                [Pb. PET 2003]

    A)            \[7.9\times {{10}^{4}}K\]

    B)            \[3.5\times {{10}^{4}}K\]

    C)            \[5.8\times {{10}^{4}}K\]

    D)            \[14\times {{10}^{4}}K\]

    Correct Answer: A

    Solution :

               According to kinetic interpretation of temperature                    \[K.E.=\left( \frac{1}{2}m{{v}^{2}} \right)=\frac{3}{2}kT.\]                    \[\Rightarrow 10.2\times 1.6\times {{10}^{-19}}=\frac{3}{2}\times (1.38\times {{10}^{-23}})T\]                    Þ T = 7.9 ´ 104K.


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