Question

Calculate the wavelength of the photon emitted when an electron makes a transition from n=6 to n=3. You can make use of the following constants: h=6.626×10^−34 J⋅s c=2.998×10^8 m/s 1 m=10^9 nm

Express your answer to four significant figures and include the appropriate units.

Answer 1

Given that

initial state, n_i = 6

Final state, n_f = 3

From Rydberg equation

1/ = R_H ( 1/n_f² - 1/n_i²)

Where = wavelength

and R_H = Rydberg constant = 1.097 *10⁷ m^-1

1/ = (1.097 *10⁷ m^-1) ( 1/(3)² - 1/(6)² ) = (1.097 *10⁷ m^-1)(1/9 - 1/36) = 9.14 *10⁵ m^-1

= 1094 nm