NEET Sample Paper NEET Sample Test Paper-82

  • question_answer
    Consider an electron in the \[{{n}^{th}}\] orbit of a hydrogen atom in the Bohr model. The circumference of the orbit can be expressed in terms of the de-Broglie wavelength \[\lambda \] of the electron as

    A)  \[\left( 0.529 \right)n\lambda \]                

    B)  \[\sqrt{n\lambda }\]

    C)  \[\left( 13.6 \right)\,\lambda \]                 

    D)  \[n\lambda \]

    Correct Answer: D

    Solution :

    We know that \[mvr=\frac{nh}{2\pi }\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,2\pi r=\frac{nh}{mv}=\frac{nh}{p}\] We know that \[\lambda =\frac{h}{p}\,\,\,\Rightarrow \,\,p=\frac{h}{\lambda }\] \[\Rightarrow \] From Eq. (i), \[2\pi r=\frac{nh}{h/\lambda }=n\lambda \]


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