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MHT CET202521 Apr 2025Morning ShiftPhysicsAtomic PhysicsActual

Which of the following transitions in hydrogen atom emit photons of highest frequency? ( n = principle quantum number)

Options

  1. An =1 to n =3
  2. Bn =2 to n =4
  3. Cn=5 to n=3
  4. Dn =2 to n =1

Correct answer

D. n =2 to n =1

Step-by-step solution

Photons are emitted when electrons transition from a higher principal quantum number n_i to a lower n_f . The photon energy is given by E = 13.6 ( 1 n_f^2 - 1 n_i^2 ) eV, and since frequency is proportional to energy ( E = hf ), the highest frequency corresponds to the largest energy release. Options A and B represent absorption transitions ( n_i Transition C ( n=5 n=3 ): E_C = 13.6 ( 1 9 - 1 25 ) = 13.6 16 225 0.967 eV. Transition D ( n=2 n=1 ): E_D = 13.6 ( 1 - 1 4 ) = 13.6 3 4 = 10.2 eV. Since E_D > E_C , transi

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