The radiation of wavelength 300nmis incident on a silver surface .will photoelectrons be observed (the work function of silver =4.7eV) 12th physics
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Explanation:
Einstein's equation for photoelectric effect is given by, eV
0
=E−W
In first case: eV
0
=7.7eV, where V
0
is the cut-off potential and
W=4.7eV, work function of silver metal.
So, Energy of photon is E
1
=E=eV
0
+W=7.7+4.7=12.4eV
We know that E=
λ
hc
If E
2
is the photon energy in the second case,
E
1
E
2
=
λ
2
λ
1
=
200nm
100nm
=0.5
so E
2
=0.5E
1
=0.5(12.4)=6.2eV
If V
02
is the cut-off potential in the second case, eV
01
=E
2
−W (as same metal for both case so W is same for both case)
or eV
02
=6.2−4.7=1.5eV
or V
02
=1.5V
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