Chapter 33: Problem 18
Is it possible to design a system that will form an image without lenses or mirrors? If so, how? and what drawbacks, if any, would it have?
Chapter 33: Problem 18
Is it possible to design a system that will form an image without lenses or mirrors? If so, how? and what drawbacks, if any, would it have?
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Get started for freeWhere is the image formed if an object is placed \(25 \mathrm{~cm}\) from the eye of a nearsighted person. What kind of a corrective lens should the person wear? a) Behind the retina. Converging lenses. b) Behind the retina. Diverging lenses. c) In front of the retina. Converging lenses. d) In front of the retina. Diverging lenses.
When performing optical spectroscopy (for example, photoluminescence or Raman spectroscopy), a laser beam is focused on the sample to be investigated by means of a lens having a focal distance \(f\). Assume that the laser beam exits a pupil \(D_{o}\) in diameter that is located at a distance \(d_{\mathrm{o}}\) from the focusing lens. For the case when the image of the exit pupil forms on the sample, calculate a) at what distance \(d_{\mathrm{i}}\) from the lens is the sample located and b) the diameter \(D_{i}\) of the laser spot (image of the exit pupil) on the sample. c) What are the numerical results for: \(f=10.0 \mathrm{~cm},\) \(D_{o}=2.00 \mathrm{~mm}, d_{\mathrm{o}}=1.50 \mathrm{~m} ?\)
Some reflecting telescope mirrors utilize a rotating tub of mercury to produce a large parabolic surface. If the tub is rotating on its axis with an angular frequency \(\omega,\) show that the focal length of the resulting mirror is: \(f=g / 2 \omega^{2}\).
A classmate claims that by using a \(40.0-\mathrm{cm}\) focal length mirror, he can project onto a screen a \(10.0-\mathrm{cm}\) tall bird locat ed 100 . \(\mathrm{m}\) away. He claims that the image will be no less than \(1.00 \mathrm{~cm}\) tall and inverted. Will he make good on his claim?
A converging lens of focal length \(f=50.0 \mathrm{~cm}\) is placed \(175 \mathrm{~cm}\) to the left of a metallic sphere of radius \(R=100 . \mathrm{cm} .\) An object of height \(h=20.0 \mathrm{~cm}\) is placed \(30.0 \mathrm{~cm}\) to the left of the lens. What is the height of the image formed by the metallic sphere?
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