Q.

A photon of wavelength 1000 Ao has energy 12.3 eV. If light of wavelength 5000 Ao, having intensity I, falls on a metal surface, the saturation current is 0.40 μA and the stopping potential is 1.36 V. The work function of the metal is

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a

2.47 eV

b

1.36 eV

c

0.43 eV

d

1.10 eV

answer is C.

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Detailed Solution

Stopping potential of 1.36 V implies kinetic energy of photoelectrons K.E.max=1.36 eV.

If a photon of wavelength 1000 Ao has energy 12.3 eV, energy of a photon of wavelength 5000 Ao is

E=12.3×10005000=2.46 eV.

Work function of the metal  ϕ0=E-K.E.max=2.46-1.36=1.1 eV 

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