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Physics · Ch 7 — Dual Nature of Radiation and Matter

Effect of intensity of incident light on photoelectric current

7.2.2

Effect of intensity of incident light on photoelectric current

A dedicated apparatus is used to study the photoelectric effect systematically: a source S of electromagnetic radiation of adjustable, known frequency ν\nu and intensity II illuminates a photosensitive cathode C inside an evacuated glass envelope fitted with a quartz window (quartz, unlike ordinary glass, transmits ultraviolet light). The emitted photoelectrons are collected by an anode A, whose potential relative to C can be set to any desired positive or negative value using a potential-divider arrangement fed by a high-tension battery; a centre-zero voltmeter reads this potential difference, while a micro-ammeter in series measures the resulting photocurrent. With no light falling on C, the meter reads zero -- no photoelectrons, no current. This single apparatus is then used, one variable at a time, to study how the photocurrent responds to (i) the intensity of the incident light, (ii) the potential difference between the electrodes, (iii) the material of the cathode, and (iv) the frequency of the incident light. …

Figure 7.8Experimental setup for the study of photoelectric effect

What this figure shows. An evacuated glass envelope with a quartz window is shown containing a semi-cylindrical cathode C made of photosensitive material and a rod-shaped anode A along its axis, illuminated from outside by a source S of electromagnetic radiation of adjustable frequency ν\nu and intensity II. The cathode and anode are connected through a potential-divider arrangement PQ fed by a high-tension battery B and a key K, so that plate A can be set to any desired positive or negative potential relative to C; a centre-zero voltmeter V reads this potential difference while a micro-ammeter μA\mu A in series measures the resulting photocurrent. This single apparatus is the workhorse used to independently study how the photocurrent responds to intensity, …

Figure 7.9Variation of photocurrent with intensity

What this figure shows. A graph with light intensity II plotted along the horizontal axis and photoelectric current plotted along the vertical axis, drawn as a straight line passing through the origin, with a caption noting that the frequency of the light and the accelerating potential of the anode are both held constant throughout. The straight-line, origin-passing shape is the direct graphical statement of the first experimental law of the photoelectric effect: the photocurrent -- and hence the number of photoelectrons ejected per second -- is directly proportional to the intensity of the inciden …