The radiation corresponding to 3 → 2 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of 3 × 1 0 − 4 T . If the radius

Question

The radiation corresponding to 3 → 2 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of 3 × 1 0 − 4 T . If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to :

TestHub · Accepted Answer

We know that R = Bq m υ ​ ∴ υ = m Bqr ​ ∴ KE = 2 1 ​ m v 2 = 2 m B 2 q 2 R 2 ​ = 0.79 eV Now from photoelectric equation E = ϕ + KE ∴ ϕ = E − KE = 1 . 89 − 0 . 79 = 1 . 1 eV

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