Question

The transition from n = 6 to n = 2 produces the Balmer series line with wavelength λ₀. The wavelength is 4 times larger than an n = x to n = 1 transition in the Lyman series. Determine the value of x.

Group of answer choices

3

5

6

2

4

Answer 1

For Balmer series we can write the wavelength as,

Substituting values we can write,

For Layman series we can write,

Now, in the case of layman series the value of n is x and the wavelength is 1/4 times the wavelength in the case of Balmer series. Hence we can write,

Dividing the above two equations for Balmer and Layman series we can write,

Therefore the correct answer is (a).