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Question : 24
Total: 29
(a) State three important properties of photons which describe the particle picture of electromagnetic radiation.
(b) Use Einstein's photoelectric equation to define the terms (i) stopping potential and (ii) threshold frequency.
(b) Use Einstein's photoelectric equation to define the terms (i) stopping potential and (ii) threshold frequency.
Solution:
(a) Properties of photon which describe the particle nature of electromagnetic radiation:
(i) Photons are quanta or discrete packet of energy.
(ii) Energy of photon is proportional to the frequency of the em radiation.
(iii) Photon transfers its whole energy to the interacting electron.
(b) Einstein's photoelectric equation:
K E max = h v − h v 0
(i)K E = e V S
If negative potential of magnitudeV s is applied to the anode then no photoelectron electron will be able to reach anode and hence the photoelectron emission will stop. This potential is known as stopping potential.
(ii) From Einstein's equation, When
v = v 0 , K E max = 0 , i.e., photoelectrons are just emitted with no kinetic energy.
Whenv > v 0 , K E max > 0 , i.e., photoelectrons are emitted with some kinetic energy.
Whenv < v 0 , K E max < 0 , which is not possible. So, no photoelectron emission takes place.
So, there is a minimum frequency below which photoelectron emission is not possible. This frequency is known as threshold frequency.
(i) Photons are quanta or discrete packet of energy.
(ii) Energy of photon is proportional to the frequency of the em radiation.
(iii) Photon transfers its whole energy to the interacting electron.
(b) Einstein's photoelectric equation:
(i)
If negative potential of magnitude
(ii) From Einstein's equation, When
When
When
So, there is a minimum frequency below which photoelectron emission is not possible. This frequency is known as threshold frequency.
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