The ratio of the difference in energy between first and second Bohr orbit to that between the second and the third Bohr orbit is

Options

(a) 1/2
(b) 1/3
(c) 4/9
(d) 27/5

Correct Answer:

27/5

Explanation:

E₁ – E₂ = 1312 x Z²(1/1² – 1/2²)
= 1312 x Z²(3/4)
E₂ – E₃ = 1312 x Z²(1/2² – 1/3²)
= 1312 x Z²(5/36)
From eqs. (i) and (ii)
E₁ – E₂ / E₂ – E₃ = 3 x 26 / 4 x 5 = 27/5