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MHT CET202522 Apr 2025Morning ShiftPhysicsAtomic PhysicsActual

Out of the following transitions in hydrogen atom, identify the transition which emits photons of highest frequency.

Options

  1. An =1 to n =2
  2. Bn =2 to n =1
  3. Cn =2 to n =6
  4. Dn =6 to n =2

Correct answer

B. n =2 to n =1

Step-by-step solution

The photon frequency is proportional to the transition energy difference as given by E = h . Hydrogen energy levels follow E_n = - 13.6 n^2 eV. Only transitions with n_i > n_f result in photon emission. Option A ( n=1 2 ) and C ( n=2 6 ) are absorption transitions—no emission occurs. For emission transition B ( n=2 1 ): E_B = E₂ - E₁ = 13.6 (1 - 1 4 ) = 10.2 eV For D ( n=6 2 ): E_D = E₆ - E₂ = 13.6 ( 1 4 - 1 36 ) = 13.6 2 9 3.02 eV Since E_B > E_D , transition B yields the highest frequency photon.

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