AIPMT | 2014Photoelectric EffectHard

Question

When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is

Options

A.0.65 eV
B.1.0 eV
C.1.3 eV
D.1.5 eV

Solution

E = hv - φ
⇒ 0.5 = hv - φ       .....(1)
Again 0.8 = 1.2 hv - φ       .....(2)
From equation (1) × 1.2 ⇒ 0.6 = 1.2 hv - 1.2φ
Equation (2)       0.8 = 1.2 hv - φ
                  -   -   +
           
                  - 0.2 = - 0.2 φ
                  φ = 1eV

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