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PhysicsHardMulti concept2021 · 20 Jul Shift 1

Q17.The radiation corresponding to 3 →2 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. These electrons are passed through a magnetic field of 5 × 10−4 T. Assume that the radius of the largest circular path followed by these electrons is 7 mm, the work function of the metal is: (Mass of electron = 9. 1 × 10−31 kg) (1) 1. 36 eV (2) 1. 88 eV (3) 0. 16 eV (4) 0. 82 eV

What This Question Tests

This question integrates concepts from Bohr's atomic model (photon energy), photoelectric effect (work function and KE of electrons), and magnetic effects (radius of path), requiring multiple calculations to find the work function.

Concepts Tested

Bohr's model of hydrogen atomEnergy levels in hydrogen atomPhotoelectric effectKinetic energy of photoelectronsMotion of charged particle in magnetic field

Formulas Used

E_n = -13.6/n² eV

E_photon = E_initial - E_final

KE_max = E_photon - Φ

r = mv/(eB)

KE = (1/2)mv²

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