Determine the wavelength of incident electromagnetic radiation required to cause an electron transition from the n = 5 to the n = 7 level in a hydrogen atom.

Question

Quizplus · Accepted Answer

The wavelength of the incident electromagnetic radiation required to cause an electron transition from the n = 5 to the n = 7 level can be calculated using the Rydberg formula:

1/λ = R(1/n₁² - 1/n₂²)

where λ is the wavelength, R is the Rydberg constant (1.0974 x 10^7 m^-1), n₁ is the initial energy level (n = 5), and n₂ is the final energy level (n = 7).

Plugging in the values, we get:

1/λ = (1.0974 x 10^7 m^-1)(1/5² - 1/7²)
1/λ = 90909.09 m^-1
λ = 1.1 x 10^-8 m or 11 nm

Therefore, the best choice is D, 4.6 × 10^-7 nm.

Determine the Wavelength of Incident Electromagnetic Radiation Required to Cause