Figure 5 shows the arrangement used by Fizeau to determine the speed of light - AQA - A-Level Physics - Question 3 - 2022 - Paper 7
Question 3
Figure 5 shows the arrangement used by Fizeau to determine the speed of light.
The toothed wheel W is rotated and the reflected light from a distant mirror M is obs... show full transcript
Worked Solution & Example Answer:Figure 5 shows the arrangement used by Fizeau to determine the speed of light - AQA - A-Level Physics - Question 3 - 2022 - Paper 7
Step 1
0.3.1 State what $f_0$ represents in the equation.
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Answer
f0 represents the frequency of rotation of the toothed wheel W when no reflected light is seen. It is the lowest frequency at which the light beam can be observed.
Step 2
0.3.2 The experiment is attempted using a rotating wheel with 720 teeth that can be rotated at up to 620 revolutions per minute. The distance between W and M is 8.5 km. Deduce whether the speed of light can be determined with this particular arrangement.
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To determine if the speed of light can be measured, we first calculate the maximum measurable speed using the formula:
2=S×108 m s−1
By calculating the value of d (where d = 8.5 km = 8500 m) and substituting:
Calculate the time for light to travel to the mirror and back:
Time taken t=c2d=3×1082×8500
Maximum teeth rotation at 620 rev/min gives:
f=60720×620
This value of frequency will be compared with the calculated speed.
Conclusion: The largest possible speed measured is less than the speed of light if the calculated maximum does not exceed c.
Step 3
0.3.3 State how $\epsilon_0$ and $\mu_0$ are related to the types of field in the wave.
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ϵ0 is related to the electric field strength in free space, which is charged. μ0 relates to the magnetic field strength in a vacuum. In other words, ϵ0 is linked to the ability to carry electric fields, while μ0 is associated with the magnetic field under dynamic conditions.