Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

Evaluate the wavelength of the photon emitted as electron falls from the 7th orbit in the P-fund series.
Options
A 7.1 × 10⁻¹² m
B 1.21 × 10⁻⁷ m
C 4.65 × 10⁻⁶ m
Correct Answer
D 2.14 × 10⁻⁸ m
Correct Answer

Option C is the correct answer.

Detailed Explanation

The P-fund series corresponds to transitions to the n=5 orbit. The formula for wavenumber is 1/λ = R (1/n₁² - 1/n₂²), where n₁ = 5, n₂ = 7. 1/λ = R(1/25 - 1/49) = R(24/1225) = 1.0974e7 × 0.01959 = 2.149e5 m⁻¹. λ = 1/2.149e5 = 4.653e-6 m = 4.65 × 10⁻⁶ m.

Hint

Use the Rydberg formula for the P-fund series (n₁=5).

Question Info