Concept explainers
Andy decides to use an old pair of eyeglasses to make some optical instruments. He knows that the near point in his left eye is 50.0 cm and the near point in his right eve is 100 cm. (a) What is the maximum angular magnification he can produce in a telescope? (b) If he places the lenses 10.0 cm apart, what is the maximum overall magnification he can produce in a microscope? Hint: Go back to basics and use the thin lens equation to solve part (b).
(a)
Answer to Problem 36.75AP
Explanation of Solution
Given info: The near point in the left eye is
Write the thin lens equation.
Here,
When the lens for left eye is objective lens.
Write the equation for focal length of the left lens.
Here,
Substitute
Write the equation for focal length of the right lens.
Here,
Substitute
Write the equation for angular magnification of a telescope when the lens for left eye is objective lens.
Here,
Substitute
Conclusion:
Therefore, the maximum angular magnification produced in a telescope is
(b)
Answer to Problem 36.75AP
Explanation of Solution
Given info: The near point in the left eye is
When the lens for right eye is eyepiece lens.
Write the thin lens equation to get the object distance for the eyepiece.
Here,
Substitute
Write the equation for maximum magnification of the eyepiece.
Substitute
Calculate the image distance for the objective lens.
Substitute
Write the thin lens equation to get the object distance for the objective lens.
Substitute
Write the equation for magnification for objective lens.
Substitute
Write the equation for overall magnification.
Substitute
Conclusion:
Therefore, the maximum overall magnification produced in a microscope is
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Chapter 36 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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