Which one of the following is true for the wavelength of the photon emitted when an electron in a hydrogen atom jumps from the n_i = 70 state to the n_f = 2 state as compared to the wavelength of the photon emitted when the electron jumps from the n_i = 4 state to the n_f = 2 state? A) They are equal. B) It is shorter. C) It is longer. D) The wavelength of the photon is not related to the change in state.

Question

Quizplus · Accepted Answer

The wavelength of the photon emitted when an electron in a hydrogen atom jumps from one energy level to another is given by the formula λ = hc/ΔE, where λ is the wavelength, h is Planck's constant, c is the speed of light, and ΔE is the change in energy between the initial and final states. The change in energy between the n_i = 70 state and the n_f = 2 state is much larger than the change in energy between the n_i = 4 state and the n_f = 2 state. Therefore, the wavelength of the photon emitted from the higher energy state will be shorter than the wavelength of the photon emitted from the lower energy state.

Which One of the Following Is True for the Wavelength