Derive Einstein's photo-electric relation. Prove intensity law the basis of Einstein religion
Answers
Answer:
Einstein's Photoelectric equation:
By conservation of energy
The energy of incident photon=maximum K.E of e
−
+ work function
hv=
2
1
mV
max
2
+W
0
(W
0
=
Thresholdfrequency
hv
0
)
K
max
=hv−hv
0
K
max
=h(v−v
0
)
(1) Explanation of the effect of intensity: The increase of intensity means the increase the number of photons striking the metal surface at a unit time. As each photon ejects only one e
−
so the number if ejection electron increases.
(2) Explanation of threshold frequency: If v∝v
0
That is the frequency of incident radiation is less than the threshold frequency, the kinetic energy of photoelectrons becomes negative. This is no physical meaning.
(3) Explanation of kinetic energy: If v>V
0
then the maximum kinetic energy of e
−
increases linearly with frequency v.
(4) Explanation of time lag: Photoelectric is the result of elastic collision b/w photon & e
−
. The transfer of energy of a photon to e
−
is one lump, not continuous absorption.
Answer:
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