Aperture questions Due 9.20.12 Aperture questions Due 9.20.12 1. What 2. What 3. Draw sources. 1. What 2. What 3. Draw sources. is meant by “aperture”? is meant by “resolution”? a diagram of how the eye sees two separate point Include distances and angles. is meant by “aperture”? is meant by “resolution”? a diagram of how the eye sees two separate point Include distances and angles. 4. Light of wavelength 589 nm is used to view an object under a microscope. If the aperture of the objective lens has a diameter of 0.900 cm, (a) Find the limiting angle of resolution and (b) find the smallest angle of resolution the could be seen, and the wavelength of visible light to which it corresponds. 4. Light of wavelength 589 nm is used to view an object under a microscope. If the aperture of the objective lens has a diameter of 0.900 cm, (a) Find the limiting angle of resolution and (b) find the smallest angle of resolution the could be seen, and the wavelength of visible light to which it corresponds. 5. The Hale telescope at Mount Palomar has a diameter of 200. inches. What is its limiting angle of resolution for 600. nm light? 5. The Hale telescope at Mount Palomar has a diameter of 200. inches. What is its limiting angle of resolution for 600. nm light? 6. Calculate the limiting angle of resolution for the eye assuming its resolution is limited only by diffraction. Take the wavelength to be 500. nm and assume a pupil diameter of 2.00 mm. 6. Calculate the limiting angle of resolution for the eye assuming its resolution is limited only by diffraction. Take the wavelength to be 500. nm and assume a pupil diameter of 2.00 mm. 7. A helium-neon laser emits light that has a wavelength of 632.8 nm. The circular aperture through which the beam emerges has a diameter of 0.50 cm. Estimate the diameter of the beam 10.0 km from the laser. 7. A helium-neon laser emits light that has a wavelength of 632.8 nm. The circular aperture through which the beam emerges has a diameter of 0.50 cm. Estimate the diameter of the beam 10.0 km from the laser. 8. On the night of April 18th, 1775, a signal was to e sent from the Old North Church steeple to Paul Revere, who was 1.8 miles away: “one if by land and two if by sea.” At what minimum separation did the sexton have to set the lanterns so that Paul Revere could receive the correct message? Assume the Paul Revere’s pupils had a diameter of 4.00 mm at night, and that the candlelight had a predominant wavelength of 580 nm. 8. On the night of April 18th, 1775, a signal was to e sent from the Old North Church steeple to Paul Revere, who was 1.8 miles away: “one if by land and two if by sea.” At what minimum separation did the sexton have to set the lanterns so that Paul Revere could receive the correct message? Assume the Paul Revere’s pupils had a diameter of 4.00 mm at night, and that the candlelight had a predominant wavelength of 580 nm. 9. Suppose you are standing on a straight highway and watching a car moving away from you at 20.0 ms-1. The air is perfectly clear, and after 2.00 minutes, the previously separate tail-lights, appear as one. If the diameter of your pupil is 7.00 mm in the night, estimate the width of the car. 9. Suppose you are standing on a straight highway and watching a car moving away from you at 20.0 ms-1. The air is perfectly clear, and after 2.00 minutes, the previously separate tail-lights, appear as one. If the diameter of your pupil is 7.00 mm in the night, estimate the width of the car. 4a) 7.98 x 10-5 Rad 4b) 5.42 x 10-5 rad, 400 nm 5) 1.44 x 10-7 Rad 6) 3.05 x 10-4 rad 7) 3.09 m 9) 0.8 m 4a) 7.98 x 10-5 Rad 4b) 5.42 x 10-5 rad, 400 nm 5) 1.44 x 10-7 Rad 6) 3.05 x 10-4 rad 7) 3.09 m 9) 0.8 m 8) 51.2 cm 8) 51.2 cm