The wavelength of the visible line in the hydrogen spectrum that corresponds to m = 5 in the balmer equation is: a. 656 nm. b. 486 nm. c. 434 nm. d. 410 nm. e. none of these is correct.

The wavelength of the visible line in the hydrogen spectrum is 434 nm.

Explanation:

It is given that, the wavelength of the visible line in the hydrogen spectrum that corresponds to n₂ = 5 in the Balmer equation.

For Balmer series, the wave number is given by :

R is the Rydberg's constant

For Balmer series, n₁ = 2. So,

or

So, the wavelength of the visible line in the hydrogen spectrum is 434 nm. Hence, this is the required solution.

d is the correct answer