JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Atomic models and Planck's quantum theory

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    The energy of a radiation of wavelength \[8000\,{AA}\] is \[{{E}_{1}}\]and energy of a radiation of wavelength \[16000\text{ }{AA}\]is \[{{E}_{2}}\]. What is the relation between these two               [Kerala CET 2005]

    A) \[{{E}_{1}}=6{{E}_{2}}\]

    B) \[{{E}_{1}}=2{{E}_{2}}\]

    C) \[{{E}_{1}}=4{{E}_{2}}\]

    D) \[{{E}_{1}}=1/2{{E}_{2}}\]

    E) \[{{E}_{1}}={{E}_{2}}\]

    Correct Answer: B

    Solution :

     \[E\propto \frac{1}{\lambda }\ ;\ {{E}_{1}}=\frac{1}{8000}\ ;\ {{E}_{2}}=\frac{1}{16000}\]                                \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{16000}{8000}=2\ \ \Rightarrow \ {{E}_{1}}=2{{E}_{2}}\]


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