Question

Work function for sodium metal is 1.82ev, calculate the threshold frequency for sodium?

Answer 1

• Work function is defined as the minimum amount of energy required by an electron to escape from a metal surface.
• The frequency of incident light below which no photo emission on a metal surface gets initiated is called threshold frequency for that metal.
• The value of threshold frequency is different for different metals.
• The gain of kinetic energy of an electron is the difference between incident photon energy and work function of the metal or material and that can be represented as-
• Ek= hf- Ф

Answer 2

The threshold frequency for sodium is $0.44\times 10^{15}Hz$

Explanation:

Work function for a material is defined as the minimum amount of energy required to remove an electron to infinity from the surface of the material.

$W=h\nu_o$

where,  

W = work function of sodium= $1.82eV=1.82\times 1.6\times 10^{-19}J=2.9\times 10^{-19}J$     (Conversion factor: $1eV=1.602\times 10^{-19}J$ )

h = Planck's constant = $6.6\times 10^{-34}Js$  

$\nu_o$ = Threshold frequency of the material

Putting values in above equation, we get:

$2.9\times 10^{-19}J=6.6\times 10^{-34}Js\times \nu_o\\\\\nu_o=0.44\times 10^{15}s^{-1}=0.44\times 10^{15}Hz$      $(1s^{-1}=1Hertz)$

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