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BITSAT2015PhysicsAtomic PhysicsActual

One of the lines in the emission spectrum of Li ²⁺ has the same wavelength as that of the 2^ nd line of Balmer series in hydrogen spectrum. The electronic transition corresponding to this line is n =12 n = x . Find the value of x

Options

  1. A8
  2. B6
  3. C7
  4. D5

Correct answer

B. 6

Step-by-step solution

For 2^ nd line of Balmer series in hydrogen spectrum 1 = R (1) ( 1 2² - 1 4² )= 3 16 R For Li ²⁺ [ 1 = R 9 ( 1 x ² - 1 12² )= 3 R 16 ] which is satisfied by n=12 n=6

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