The key insight that Bohr introduced to his model of the atom was that the angular momentum of the electron orbiting the nucleus was quantiz

Question

The key insight that Bohr introduced to his model of the atom was that the angular momentum of the electron orbiting the nucleus was quantized. He introduced the postulate that the angular momentum could only come in quantities of nh/(2π), where h is Planck’s constant and n is a nonnegative integer (0,1,2,3,…). Given this postulate, what are the allowable values for the velocity v of the electron in the Bohr atom? Recall that, in circular motion, angular momentum is given by the formula L= mvr.

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Thu Giang 5 years 2021-08-10T07:23:59+00:00 1 Answers 109 views 0

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  1. bonexptip
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    2021-08-10T07:25:10+00:00
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    Answer:

      v = n \frac{\hbar }{m r}

    the sppedof the electron is also quantized

    Explanation:

    The angular momentum of a rotating body is

             L = m v r

    in Bohr’s atomic model the quantization postulate is that the angular momentum is equal to

             L = n \hbar

    we substitute

            n \hbar = m v r

            v = n \frac{\hbar }{m r}

    where n is an integer.

    Therefore, the sppedof the electron is also quantized, that is, sol has some discrete values.

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