JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The energy of photon of wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\] is nearly 2.5 eV. Then the energy of X-ray photon of wavelength 1 A will be nearly :

    A) \[3\,\,\text{c}{{\text{m}}^{\text{3}}}\text{/s}\]

    B)  \[2\,\,\text{c}{{\text{m}}^{\text{3}}}\text{/s}\]

    C)  \[{{E}_{n}}=\frac{-13.6}{{{n}^{2}}}eV\]

    D)  \[\text{91}0\text{ { }\!\!\mathrm{\AA}\!\!\text{ }},\text{ 1213 { }\!\!\mathrm{\AA}\!\!\text{ }}\]

    Correct Answer: B

    Solution :

                    From the formula for energy of photon \[2\,\,\text{c}{{\text{m}}^{\text{3}}}\text{/s}\] \[{{E}_{n}}=\frac{-13.6}{{{n}^{2}}}eV\]                   \[\text{91}0\text{ { }\!\!\mathrm{\AA}\!\!\text{ }},\text{ 1213 { }\!\!\mathrm{\AA}\!\!\text{ }}\] Hence,                  \[\text{5463{ }\!\!\mathrm{\AA}\!\!\text{ } },\text{ 7858}{\AA}\] Or                           \[\text{1315{ }\!\!\mathrm{\AA}\!\!\text{ }},\text{ 153}0{\AA}\] \[\text{5}.\text{67}\times \text{l}{{0}^{\text{7}}}\text{m}/\text{s}\]


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