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Question 1: Calculate the distance (A0) between the nucleus and an electron in the 5th orbit of an excited hydrogen atom.


For hydrogen atom, the radius of the electron moving in an orbit around the nucleus is given by

Here, rn is the radius of the nth orbit which is distance of the electron in the nth orbit from the nucleus.

n= the number of orbit, ϵ0 is the permittivity of the free space, h is Planck’s constant, m is the mass of the electron and e is the charge on the electron. All these quantities are constant and hence the value of the quantity in the brackets is also constant. The calculated value of this constant is 0.592 A0.

In the question, we are concerned with the radius of the 5th shell, r5. Hence, substituting the values,

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