BVP Medical BVP Medical Solved Paper-2011

  • question_answer
    If\[I={{I}_{1}}\cos \,\omega t+{{I}_{2}}\sin \omega t\] denote the root mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature then

    A)  \[\frac{1}{\sqrt{2}}({{I}_{1}}+{{I}_{2}})\]                              

    B) \[\frac{1}{\sqrt{2}}{{({{I}_{1}}+{{I}_{2}})}^{2}}\]

    C) \[\frac{1}{\sqrt{2}}{{(I_{1}^{2}+I_{2}^{2})}^{1/2}}\]        

    D) \[\frac{1}{2}{{(I_{1}^{2}+I_{2}^{2})}^{1/2}}\]

    Correct Answer: A

    Solution :

                    Rms velocity of gas molecules is \[\frac{2\pi hc}{{{e}^{2}}}\] \[\frac{{{e}^{2}}h}{2\pi c}\] [Since, other quantities remain constant] \[\frac{{{e}^{2}}h}{2\pi h}\]        \[\frac{2\pi {{e}^{2}}}{hc}\]                 \[{{M}_{neutron}}\] and \[{{M}_{proton}}\] But we know very well that                 \[{{M}_{\alpha }}\] So,          \[{{10}^{-5}}\]


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