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NEET Sample Paper NEET Sample Test Paper-26

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

    A)  \[1:1\]              

    B)  \[1:2\]

    C)  \[1:4\]                         

    D)  \[2:1\]

    Correct Answer: A

    Solution :

    For the first Bohr orbit of hydrogen atom \[mVr=\frac{b}{2\pi }\]             \[\Rightarrow \]                \[2\pi r=\frac{h}{mV}\] de-Broglie wavelength of electron having same Velocity,     \[\lambda =\frac{h}{mV}\] \[\therefore \]  \[\frac{2\pi r}{\lambda }=1.\] (As the length of circumference is \[n\lambda =2\pi r\] and it, \[n=1\] then, \[\lambda =2\pi r\]).     


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