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PhysicsHardMulti concept2021 · 26 Feb Shift 2

Q18.The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 5 state will be (1) 4. 17 m s−1 (2) 2. 19 m s−1 (3) 4. 34 m s−1 (4) 3. 25 m s−1

What This Question Tests

This multi-concept question requires calculating the energy and momentum of an emitted photon from an atomic transition and then applying the principle of conservation of momentum to find the recoil speed of the atom.

Concepts Tested

Energy levels in hydrogen atomMomentum of emitted photonConservation of momentum (recoil)

Formulas Used

E_n = -13.6/n² eV

E = hc/λ

p = E/c

m_H v_recoil = p_photon

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