Using Bohr's postulates, derive the expression for the total energy of the electron revolving in `n^(th)` orbit of hydrogen atom. Find the wavelength of `H_(alpha)` line, given the value of Rydberg constant, `R = 1.1 xx 10^(7) m^(1)`

Explanation

To derive the expression for the total energy of the electron revolving in the \( n^{th} \) orbit of a hydrogen atom using Bohr's postulates, we will follow these steps:

### Step 1: Bohr's Postulate for Angular Momentum
According to Bohr's model, the angular momentum of the electron in the \( n^{th} \) orbit is quantized and given by:
\[ mvr = \frac{nh}{2\pi} \]
where:
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