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 × 10 ⁶ s ⁻¹ B)2.742 × 10 ⁶ s ⁻¹ C)6.165 × 10 ¹⁴s ⁻¹ D)8.226 × 10 ¹⁴ s ⁻¹ E) 10 ¹⁵s ⁻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 × 10 ⁶ s ⁻¹ B)2.742 × 10 ⁶ s ⁻¹ C)6.165 × 10 ¹⁴s ⁻¹ D)8.226 × 10 ¹⁴ s ⁻¹ E)> 10 ¹⁵s ⁻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