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PhysicsHardMulti concept2022 · 26 Jun Shift 2

Q14.A metal surface is illuminated by a radiation of wavelength 4500 A . The ejected photo-electron enters a constant magnetic field of 2 mT making an angle of 90° with the magnetic field. If it starts revolving in a circular path of radius 2 mm, the work function of the metal is approximately (1) 1. 36 eV (2) 1. 69 eV (3) 2. 78 eV (4) 2. 23 eV

What This Question Tests

This multi-concept question combines the photoelectric effect to find the kinetic energy of emitted electrons with the motion of a charged particle in a magnetic field to find its speed and then the work function.

Concepts Tested

Photoelectric effectKinetic energy of photoelectronMagnetic force on charged particleWork function

Formulas Used

KE_max = hν - φ_0 = hc/λ - φ_0

F_magnetic = qvB

Centripetal force = mv²/r

1 eV = 1.6 × 10⁻¹⁹ J

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