Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

Find the wavenumber of the photon released in an electronic jump from the fourth to the second orbit of a hydrogen-like atom.
Options
A 1.2 × 10^6 m⁻¹
B 2.1 × 10^6 m⁻¹
Correct Answer
C 19.1 × 10^7 m⁻¹
D 3.1 × 10^7 m⁻¹
Correct Answer

Option B is the correct answer.

Detailed Explanation

1/λ = R(1/n₁² - 1/n₂²). n₁ = 2, n₂ = 4. 1/λ = R(1/4 - 1/16) = R(3/16) = 1.0974e7 × 0.1875 = 2.0576 × 10^6 m⁻¹ ≈ 2.1 × 10^6 m⁻¹.

Hint

Use the Rydberg formula.

Question Info