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PhysicsHardNumerical2024 · 29 Jan Shift 1

Q30.When a hydrogen atom going from n = 2 to n = 1 emits a photon, its recoil speed is x5 m s−1 . Where x = _______. (Use: mass of hydrogen atom = 1. 6 × 10−27 kg , charge of electron e = 1. 6 × 10−19 C)

What This Question Tests

This multi-concept question combines the Bohr model for hydrogen atom energy levels with photon emission and the principle of conservation of momentum to find the recoil velocity of the atom.

Concepts Tested

Energy levels in hydrogen atomPhoton energyMomentum conservationRecoil velocity

Formulas Used

E_n = -13.6/n^2 eV

E_photon = hc/λ = ΔE

p = E_photon / c

p_atom = p_photon

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