JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature needed to excite hydrogen atoms to first excited level, is :

    A)  \[=\frac{n\times \frac{1}{2}m{{\upsilon }^{2}}}{t}\]                       

    B)  \[=\frac{360\times \frac{1}{2}\times 2\times {{10}^{-2}}\times {{(100)}^{2}}}{60}\]

    C)  \[g=\frac{Gm}{{{R}^{2}}}\]        

    D)  \[\overrightarrow{\text{F}}=\left( \text{2\hat{i}}+\text{4\hat{j}} \right)\]

    Correct Answer: A

    Solution :

                    According to kinetic interpretation of temperature \[{{t}_{1}}=5s,a=?\] Given : \[a=\frac{{{s}_{2}}-{{s}_{1}}}{{{t}^{2}}}=\frac{65-40}{{{(5)}^{2}}}\] So,          \[=\frac{25}{25}=1m/{{s}^{2}}\] Or           \[{{s}_{1}}=ut+\frac{1}{2}a{{t}^{2}}\] \[40=5u+\frac{1}{2}\times 1\times 25\] \[5u=27.5\,\,or\,\,\,u=5.5m/s\]


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