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Concept explainers
(a)
The limiting resolution of the microscope.
(a)
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Answer to Problem 7PQ
The limiting resolution of the microscope is
Explanation of Solution
Write the expression for the limit of resolution of the optical system.
Here,
Conclusion:
Substitute
Therefore, the limiting resolution of the microscope is
(b)
The wavelength that will produce the smallest angle of resolution.
(b)
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Answer to Problem 7PQ
The smallest angle of resolution is produced by violet light of
Explanation of Solution
The range of the visible light is from red
From the equation (I), the angle of resolution is proportional to the
Conclusion:
Therefore, the smallest angle of resolution is produced by violet light of
(c)
The angular resolution of the microscope.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 7PQ
The angular resolution of the microscope is
Explanation of Solution
Conclusion:
Substitute
Therefore, the angular resolution of the microscope is
(d)
The angular resolution of the microscope if the microscope is inserted in water.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 7PQ
The angular resolution of the microscope is
Explanation of Solution
Conclusion:
Substitute
Therefore, the angular resolution of the microscope is
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Chapter 36 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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- The hydrogen spectrum has a red line at 656 nm, and a blue line at 434 nm. What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cn? a. 7.7° b. 16.6° c. 6.6° d. 3.2° e. 19.2°arrow_forward1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be a phase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? How can you tell, without doing the experiment, whether or not there will be a phase shift in either beam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses (hint: it's thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nm is used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and 35.18, but your answer to part a should be helpful in deciding which set.arrow_forwardA telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the eyepiece and out the objective, and can then be projected onto a satellite or the Moon. a. If this is done with the Mount Wilson telescope, producing a 2.1 m diameter beam of 690 nm light, what is the minimum angular spread, in radians, of the beam? b. Neglecting atmospheric effects, what is the diameter of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m?arrow_forward
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