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Question

Physics Question on Dual nature of radiation and matter

A metal surface is illuminated by a radiation of wavelength 4500 Å. The rejected 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:

A

1.36 eV

B

1.69 eV

C

2.78 eV

D

2.23 eV

Answer

1.36 eV

Explanation

Solution

The correct answer is (A): 1.36 eV

Explanation:

hcλ\frac{hc}{λ} - Ø = ΚΕ........(i)
R =mvBq\frac{ mv}{Bq} = 2m(KE)Bq\sqrt{\frac{2m(KE)}{Bq }} ........(ii)
Putting the values,

Ø ≃ 1.36 eV