Use the Rydberg equation to calculate the frequency of a photon absorbed when the hydrogen atom undergoes a transition from n₁ = 2 to n₂ = 4. (R = 1.096776 × 10⁷ m^-1) A) 2.056 × 10⁶ s^-1 B) 2.742 × 10⁶ s^-1 C) 6.165 × 10¹⁴ s^-1 D) 8.226 × 10¹⁴ s^-1 E) 10¹⁵ s^-1

Question

Use the Rydberg equation to calculate the frequency of a photon absorbed when the hydrogen atom undergoes a transition from n₁ = 2 to n₂ = 4. (R = 1.096776 × 10⁷ m^-1) A) 2.056 × 10⁶ s^-1 B) 2.742 × 10⁶ s^-1 C) 6.165 × 10¹⁴ s^-1 D) 8.226 × 10¹⁴ s^-1 E) > 10¹⁵ s^-1

Quizplus · Accepted Answer

The Rydberg equation for frequency is given by ν = R * c * (1/n1² - 1/n2²). Substituting the given values, ν = 1.096776 × 10⁷ m⁻¹ * 3 × 10⁸ m/s * (1/2² - 1/4²) = 6.165 × 10¹⁴ s⁻¹.

Use the Rydberg Equation to Calculate the Frequency of a Photon