Atoms and Nuclei Problems - Numerical 02


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02.

Determine the radius of the first orbit of the hydrogen atom. What would be the velocity and frequency of the electron in the first orbit? Given: h = 6.62 x 10-34 Js, m = 9.1 x 10-31 kg, e = 1.6 x 10-19 C, k = 9 x 109 N m2 C-2.

Suggested solution:

The radius of the nth orbit of hydrogen atom is given by

For first orbit, n = 1

For first orbit, n = 1

= 2.19 x 106 ms-1

= 6.6 x 1015 Hz


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