Question

The ratio of the difference in energy of electron between the first and second Bohr's orbits to that between second and third Bohr's orbits is :

• A. $1/3$
• B. $27/5$
• C. $9/4$
• D. $4/9$

Answer 1

The correct option is B $27/5$

$E=-13.6\frac{1}{n^2}$ eV

Therefore energy difference ratio is $=\frac{1-\frac{1}{2^2}}{\frac{1}{2^2}-\frac{1}{3^2}}=\frac{27}{5}$