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Radius of the 1st orbit of hydrogen atom is r0. What will be the radius of the 4th orbit?

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Question

Radius of the 1st orbit of hydrogen atom is r0. What will be the radius of the 4th orbit?

Numerical
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Solution

`r  α  n^2`

`=> r_1/r_4 = 1^2/4^2`

`=> r_0/r_4 = 1/16`

⇒ r4 = 16 r0

The radius of the 4th orbit of a hydrogen atom is 16 times the radius of the 1st orbit.

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