Final answer:
To build an optical interference fringe counting circuit, set a threshold voltage of 2 V to differentiate between bright and dark fringes. Create a schematic that includes a phototransistor, comparator circuit, and appropriately valued resistors for connecting the output to digital circuitry.
Step-by-step explanation:
To build an optical interference fringe counting circuit in experimental modern physics, it is important to set a threshold voltage that discriminates between the bright and dark fringes detected by the phototransistor. Given that a fully illuminated phototransistor outputs 3 V and about 1 V when viewing a dark fringe, a good threshold voltage might be set around 2 V, which is halfway between the maximum and minimum signals. This ensures that the circuit triggers only when the phototransistor detects sufficiently bright light.
The schematic for the experiment would include the phototransistor connected to a comparator circuit. The comparator would compare the phototransistor voltage to the 2 V threshold, outputting a digital signal to count the fringes. Resistor values will depend on the specific comparator used. Typically, a pull-up resistor might be needed on the output, and its value could range from 1 kΩ to 10 kΩ, depending on the current requirements of the subsequent digital circuitry.