A photon of energy E ejects a photoelectron from a metal surface whose work function is W 0 . If this electron enters into a uniform magnetic field of induction B in a direction perpendicular to the

Question

A photon of energy E ejects a photoelectron from a metal surface whose work function is W 0 ​ . If this electron enters into a uniform magnetic field of induction B in a direction perpendicular to the field and describes a circular path of radius r , then the radius r is given by, (in the usual notation)

TestHub · Accepted Answer

From Einstein's photoelectric equation E = W 0 ​ + 2 1 ​ m v 2 or m 2 ( E − W 0 ​ ) ​ ​ = v A charged particle placed in uniform magnetic field experience a force F = e v B = r m v 2 ​ or r = e B m v ​ or r = e B m m 2 ( E − W 0 ​ ) ​ ​ ​ ⇒ r = e B 2 m ( E − W 0 ​ ) ​ ​

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