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  2. Calculate the orbital period of the electron in the first excited, state of Hydrogen atom.        
# School

Calculate the orbital period of the electron in the first excited, state of Hydrogen atom.

Answers (1)
S safeer

The radius of the orbit

r_n=\frac{0.53n^2A^{\circ}}{z}

Velocity

v_n=\frac{2.2\times10^6z}{n}

Orbital period 

T=\frac{2\pi r_n}{v}=\frac{2\pi \times0.53n^3\times10^{-10}}{2.2\times10^6 z^2}

The electron in the first excited state that is n=2 and z=1

T=\frac{2\pi\times0.53\times8\times10^{-10}}{2.2\times10^6}=1.2\times10^{-15}s

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