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Question: The orbital velocity of electron in the ground state of hydrogen is v. If the electron is excited to...

The orbital velocity of electron in the ground state of hydrogen is v. If the electron is excited to energy state – 0.54 eV, its orbital velocity will be –

A

v

B

v3\frac{v}{3}

C

v5\frac{v}{5}

D

v7\frac{v}{7}

Answer

v5\frac{v}{5}

Explanation

Solution

E = – 13.6eV12n2\frac{1^{2}}{n^{2}}= – 0.54eV

̃ n = 5 ̃ vn = c137\frac{c}{137}.Zn\frac{Z}{n} = c13715=v5\frac{c}{137} \cdot \frac{1}{5} = \frac{v}{5}s