MHT CET 2022 Physics question

PhysicsMoving Charges and MagnetismMHT CET 2022

A photon of energy 'E' ejects photoelectrons from a metal surface whose work function is . If this electron enters into uniform magnetic field of induction 'B' in a direction perpendicular to field and describes a circular path of radius 'r', then radius is given by

Answer: (B)

Solution

By Einstein's photoelectric equation the maximum kinetic energy of the photoelectron is , so . In the perpendicular magnetic field the magnetic force provides the centripetal force: , giving

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Question ID VK-093798