Consider the following statements
(I) Bohr's theory can also be used to explain the spectra of `He^(+)` ion
(II) Energy of an electron in the first Bohr orbit of hydrogen atom is `-13.6eV`
(III) Bohr's theory is only applicable to hydrogen atom and not to any other species
(IV) The energy of an electron in a hydrogen atom is quantised
The correct statements are

Options

A. I, II, IV
B. II, III
C. II, IV
D. All

Answer

A

Explanation

Energy of given radiation = `( E) = (hc)/(lambda) = 12.02 ev`
`E = (-13.6)/(n^2) (e. V) n=3 Delta E = (hc)/(lambda)`
a) `lambda_(1"inducted") = (hc)/(E_3-E_1)`
b) `lambda_(2 "induced") = (hc)/(E_3 - E_2)`
c) `lambda_(2"induced") = (hc)/(E_2 - E_1)`