- #1
Athenian
- 143
- 33
- Homework Statement
- Convert the x-axis from volts (output in the file from the micrometer) to radians using the full-scale voltage (1 V) and full scan distance of the micrometer, and the distance from the double slit to the scanning slit in front of the detector.
- Relevant Equations
- Fraunhofer 1-slit Diffraction Equation:
$$I(\theta) = I_0 \Bigg[\frac{\sin\big(\frac{\pi a}{\lambda}\big) \sin(\theta)}{\frac{\pi a}{\lambda}}\Bigg]^2$$
Fraunhofer 2-slit Diffraction Equation:
$$I(\theta) = 4I_0 \cos^2 \bigg(\frac{\pi d}{\lambda} \sin(\theta) \bigg) \Bigg[\frac{\sin\big(\frac{\pi a}{\lambda}\big) \sin(\theta)}{\frac{\pi a}{\lambda}}\Bigg]^2$$
After conducting the photon interference experiment, below is a sample data of what we got:
The above list goes on for quite a few columns. That said, what I cannot understand is why is the angle in - I assume - volts? How am I supposed to change it to radians? In the homework statement, I provided what I think may be the "hint" to get the angle to radians. But, to my limited understanding, I am somewhat confused at how one can go from volts to radians.
With the above data chart, I am supposed to create a "light intensity (##\mu##W) vs. angle (rad)" graph. However, I am not quite understanding how the above data can help me find the values for "light intensity (in microwatts)" and "angles (in radians)".
That said, I did just go straight ahead and graph out a "two-slit diode (V) vs. angle (V)" graph and it did come out to have a standard "diffraction graph" (the one with a lot of waves). Perhaps I am onto something here?
Ultimately, for those who are able to help me, thank you very much.
Time (s) | Angle (V) | Two-slit Diode (V) |
0 | 0.988 | 0.203 |
0.102 | 0.984 | 0.297 |
0.805 | 0.976 | 0.398 |
1.201 | 0.974 | 0.5014 |
1.31 | 0.968 | 0.526 |
The above list goes on for quite a few columns. That said, what I cannot understand is why is the angle in - I assume - volts? How am I supposed to change it to radians? In the homework statement, I provided what I think may be the "hint" to get the angle to radians. But, to my limited understanding, I am somewhat confused at how one can go from volts to radians.
With the above data chart, I am supposed to create a "light intensity (##\mu##W) vs. angle (rad)" graph. However, I am not quite understanding how the above data can help me find the values for "light intensity (in microwatts)" and "angles (in radians)".
That said, I did just go straight ahead and graph out a "two-slit diode (V) vs. angle (V)" graph and it did come out to have a standard "diffraction graph" (the one with a lot of waves). Perhaps I am onto something here?
Ultimately, for those who are able to help me, thank you very much.