The work function of sodium is 2.14 eV. What is the minimum frequency of a photon that will eject an electron from the sodium metal surface?
Ans :-
The minimum frequency of a photon that will eject an electron from the sodium metal surface is known as threshold frequency (v0) .
As,
Work function = hv0
Given, Work function = 2.14 eV = 3.424 x 10-19 J , (as 1 eV = 1.6 x 10-19 J)
Value of Planck's constant = h = 6.626176 x 10-34 J.s
Therefore,
Work function = hv0
3.424 x 10-19 J = (6.626176 x 10-34 J.s).(v0)
v0 = 3.424 x 10-19 J / 6.626176 x 10-34 J.s
v0 = 5.167 x 1014 s-1
Therefore, Threshold frequency or minimum frequency required to eject the electron = v0 = 5.167 x 1014 s-1 |
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