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Question: The ionisation energy of hydrogen atom is 13.6 eV. Following Bohr's theory, the energy corresponding...

The ionisation energy of hydrogen atom is 13.6 eV. Following Bohr's theory, the energy corresponding to a transition between the 3rd and the 4th orbit is.

A

3.40 eV

B

1.51 eV

C

0.85 eV

D

0.66 eV

Answer

0.66 eV

Explanation

Solution

E3=13.69=1.51eVE _ { 3 } = - \frac { 13.6 } { 9 } = - 1.51 \mathrm { eV } E4=13.616=0.856mueVE_{4} = - \frac{13.6}{16} = - 0.85\mspace{6mu} eV

E4E3=0.666mueV\therefore E_{4} - E_{3} = 0.66\mspace{6mu} eV