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Question

Physics Question on Photoelectric Effect

When UV light of wavelength 300 nm is incident on the metal surface having work function 2.13 eV, electron emission takes place. The stopping potential is : (Given hc = 1240 eV nm)

A

4 V

B

4.1 V

C

2 V

D

1.5 V

Answer

2 V

Explanation

Solution

The energy of the incident photon is given by:
hcλ=eVs+ϕ\frac{hc}{\lambda} = eV_s + \phi
Substitute the given values:
1240300eV2.13eV=eVs\frac{1240}{300} \, \text{eV} - 2.13 \, \text{eV} = eV_s
4.13eV2.13eV=eVs4.13 \, \text{eV} - 2.13 \, \text{eV} = eV_s
Vs=2VV_s = 2 \, \text{V}