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For the first line of the Lyman series of hydrogen, calculate the wavelength λ₁ using hc/λ₁ = Rhc[1/n₁² − 1/n₂²].

1. hc/λ₁ = Rhc[1/n₁² − 1/n₂²]
2. hc/λ₁ = ZRhc[1/n₁² − 1/n₂²]
3. hc/λ₁ = R[1/n₁² − 1/n₂²]
4. hc/λ₁ = ZR[1/n₁² − 1/n₂²]

Correct answer: hc/λ₁ = Rhc[1/n₁² − 1/n₂²]

Solution

The formula hc/λ₁ = Rhc[1/n₁² − 1/n₂²] is correct for the Lyman series of hydrogen, where R is the Rydberg constant, and n₁ and n₂ are principal quantum numbers. This matches option A.

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