The first excitation potential of a hypothetical hydrogen- like atom is `15 V`. Find the third excitation potential of the atom.

Options

A. `V` electron volt
B. `(3 V)/(4)` electron volt
C. `(4 V)/(3)` electron volt
D. cannot be calculate by given information

Answer

C

Explanation

first excitation energy is
`R h c ((1)/(1^(2)) - (1)/(2^(2))) = R h c (3)/(4)`
` (3)/(4) R h c = V eV`
`:. R h c = (4 V)/(3) eV`