Chapter 35: Q 4. (page 1016)
A red card is illuminated by red light. What color will the card appear? What if it’s illuminated by blue light?
Red in first case and black in second case.
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| Marooned on a desert island and with a lot of time on your hands, you decide to disassemble your glasses to make a crude telescope with which you can scan the horizon for rescuers. Luckily you’re farsighted, and, like most people, your two eyes have different lens prescriptions. Your left eye uses a lens of power +4.5 D, and your right eye’s lens is +3.0 D. a. Which lens should you use for the objective and which for the eyepiece? Explain.
b. What will be the magnification of your telescope?
c. How far apart should the two lenses be when you focus on distant objects?
A narrow beam of white light is incident on a sheet of quartz. The beam disperses in the quartz, with red light traveling at an angle of with respect to the normal and violet light traveling at . The index of refraction of quartz for red light is . What is the index of refraction of quartz for violet light?
Once dark adapted, the pupil of your eye is approximately 7 mm in diameter. The headlights of an oncoming car are 120 cm apart. If the lens of your eye is diffraction limited, at what distance are the two headlights marginally resolved? Assume a wavelength of 600 nm and that the index of refraction inside the eye is 1.33. (Your eye is not really good enough to resolve headlights at this distance, due both to aberrations in the lens and to the size of the receptors in your retina, but it comes reasonably close.)
Ellen wears eyeglasses with the prescription.
a. What eye condition does Ellen have?
b. What is her far point without the glasses?
You’ve been asked to build a telescope from a magnifying lens and a magnifying lens.
a. What is the maximum magnification you can achieve?
b. Which lens should be used as the objective? Explain.
c. What will be the length of your telescope?
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