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NEET Sample Paper NEET Sample Test Paper-75

  • question_answer
    What is the ratio of circumference of the first Bohr orbit for the electron in the hydrogen atom to the de-Broglie wavelength of electrons having the same velocity at the electron in the first Bohr orbit of the hydrogen atom?

    A)  \[2:1\]                          

    B)  \[1:1\]

    C)  \[1:4\]                          

    D)  \[1:2\]

    Correct Answer: C

    Solution :

    For 1 st Bohr orbit of hydrogen \[mvr=\frac{h}{2\pi }\,\,\Rightarrow \,\,2\pi r=\frac{h}{mv}\] Now, de-Broglie wavelength of electron having same velocity,      \[\lambda =\frac{h}{mv}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{2\pi r}{\lambda }=1\]


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