Physics II HW 6 answered

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Jan 9, 2024

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Physics 2092 Homework 6 1. (2 points) A narrow beam of light containing yellow (580 nm) and green (550 nm) wavelengths goes from polystyrene to air, striking the surface at a 30.0° incident angle. (a) What is the angle between the colors when they emerge? (b) How far would they have to travel to be separated by 1.00 mm? 2. (2 points) A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00 cm thick flat piece of crown glass and back to air again. The beam strikes at a 30.0° incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge? 3. (2 points) A certain slide projector has a 100 mm focal length lens. (a) How far away is the screen, if a slide is placed 103 mm from the lens and produces a sharp image? (b) If the slide is 24.0 by 36.0 mm, what are the dimensions of the image? Explicitly show the steps you followed leading your results.
4. (2 points) A doctor examines a mole with a 15.0 cm focal length magnifying glass held 13.5 cm from the mole. (a) Where is the image? (b) What is its magnification? 5. (2 points) Suppose your 50.0 mm focal length camera lens is 51.0 mm away from the film in the camera. (a) How far away is an object that is in focus? (b) What is the height of the object if its image is 2.00 cm high? 6. (4 points) A laser beam is incident at an angle of 30.0° to the vertical onto a solution of corn syrup in water. If the beam is refracted to 19.24° to the vertical,
(a) what is the index of refraction of the syrup solution? Suppose the light is red, with wavelength 632.8 nm in vacuum. Find its (b) wavelength, (c) frequency and (d) speed in the solution. 7. (2 points) A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. (a) Where is his image? (b) What is the focal length of the mirror?
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8. (2 points) The light emitted by a helium-neon laser has a wavelength of 632.8 nm in air. As the light travels from air into zircon, find (in zircon) its (a) speed, (b) wavelength 9. (2 points) A plastic pipe has an idex of refraction of 1.53. For total internal reflection, find the minimum angle of incidence if the pipe is in (a) air or (b) water. 10. (2 points) A virtual image is formed 20.0 cm from a concave mirror having a radius of curvature of 40.0 cm. (a) Find the position of the object. (b) What is the magnification of the mirror? 11. (1 point) The mirror in a solar cooker focuses the Sun’s rays on a point 25.0 cm in front of the mirror. What is the mirror’s radius?
12. (2 points) A converging lens has a focal length of 10.0 cm. While stating whether the image is real or virtual, upright or inverted, find the magnification and locate the images for object distances of (a) 20.0 cm, (b) 10.0 cm. 13. (2 points) The top of a swimming pool is at ground level. If the pool is 2.00 m deep, how far below ground level does the bottom of the pool appear to be located (a) when the pool is completely filled with water? (b) When it is filled halfway with water? a) S=2/1.333 = 1.50m b)2/2 + 2/2x1.333 = 1.75m 14. (2 points) An object is located 20.0 cm to the left of a diverging lens having a focal length f = -32.0 cm. Determine, for the image, (a) the location and (b) its magnification. a) q=(20.0)(-32.0) / 20.0 – (-32.0) = -12.3 Object is in front! b) M= - (-12.3) / 20.0 = 0.615 15. (1 point) A glass sphere ( n = 1.50) with a radius of 15.0 cm has a tiny air bubble 5.00 cm above its center. The sphere is viewed looking down along the extended radius containing the bubble. What is the apparent depth of the bubble below the surface of the sphere? a) 1/v = - 1.50/10.0 + 0.5/15.0 = 1/v= - 3.5/30cm
v= 30cm/-3.5 = -8.57cm
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