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When the wave of hydrogen atom comes from infinity into the first orbit,

When the wave of hydrogen atom comes from infinity into the first orbit, the value of wave number is

Options

(a) 109700 cm⁻¹
(b) 1097 cm⁻¹
(c) 109 cm⁻¹
(d) None of these

Correct Answer:

109700 cm⁻¹

Explanation:

Wave number = 109700 cm
ῡ = 1 / λ = R[(1/n₁²) – (1/n₂²)] = (R / n₁²) Because n₂ = ∞ and n₁ = 1
ῡ = 1.097 × 10⁷ m⁻¹ = 109700 cm⁻¹

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