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For a hypothetical H-like atom, which follows Bohr model, some spectral lines are observed as shown. If it is known that line E belong to visible region., then the line, which possibly belong to U.V. region is/are? ( n 1 is not necessarily the ground state)

Options

  1. AB and D
  2. BD only
  3. CC only
  4. DA only

Correct answer

D. A only

Step-by-step solution

Line E belong to visible so n 1 will be 2. For E, Δ E = + 13.6 × z 2 1 4 - 1 9 = 13.6 × z 2 × 0.138 For D, Δ E = 13.6 × z 2 1 9 - 1 36 = 13.6 × z 2 × 0.083 For C, Δ E = 13.6 × z 2 1 16 - 1 36 = 13.6 × z 2 × 0.034 For A, Δ E = 13.6 × z 2 1 4 - 1 25 = 13.6 × z 2 × 0.21 For B, Δ E = 13.6 × z 2 1 9 - 1 25 = 13.6 × z 2 × 0.07 For Δ E for A is larger than that of E, so it means line A belong to U.V. region.

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