Concept explainers
In Figure P36.10 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) θ = 0.500° and (b) y = 5.00 mm. (c) What is the value of θ for which the phase difference is 0.333 rad? (d) What is the value of θ for which the path difference is λ/4?
Figure P36.10
(a)
The phase difference between the two waves fronts arriving at
Answer to Problem 10P
The phase difference between the two waves fronts arriving at
Explanation of Solution
Given info: The separation between the slits is
The given diagram is shown below.
Figure 1
The formula to calculate the phase difference is,
Here,
Substitute
Conclusion:
Therefore, the phase difference between the two waves fronts arriving at
(b)
The phase difference between the two waves fronts arriving at
Answer to Problem 10P
The phase difference between the two waves fronts arriving at
Explanation of Solution
Given info: The separation between the slits is
The formula to calculate the phase difference is,
Here,
From the right angle triangle
Here,
Substitute
Substitute
Conclusion:
Therefore, the phase difference between the two waves fronts arriving at
(c)
The value of
Answer to Problem 10P
The value of
Explanation of Solution
Given info: The separation between the slits is
The formula to calculate the phase difference is,
Here,
Rearrange the above formula to find
Substitute
Conclusion:
Therefore, the value of
(d)
The value of
Answer to Problem 10P
The value of
Explanation of Solution
Given info: The separation between the slits is
The formula to calculate the phase difference is,
Here,
The path difference is
Substitute
Rearrange the equation (1) to find
Substitute
Conclusion:
Therefore, the value of
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Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
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