How many times larger is the spacing between the energy levels corresponding to n=8 and n=7 than the spacing between the energy levels corresponding to n=2 and n=3 , for a hydrogen atom ?

Options

A. 2 times
B. 2.5 times
C. 3 times
D. 3.5 times

Answer

C

Explanation

Use `r_n = n^2r_1`
`therefore (r_8 - r_7)/(r_3 - r_2) = (r_1 [8^2 - 7^2])/(r_1[3^2 - 2^2]) = (64-49)/(9-4) = 3`