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 formula for frequency is 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