Physics

Optical Instruments

7. [-/1 Points] DETAILS OSCOLPHYS2016 27.6.WA.043. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What is the minimum diameter mirror on a telescope that would allow you to see details as small as 4.90 km on the Moon some 384,000 km away? Assume an average wavelength of 540 nm for the light received. cm

7. [4.5 points total] An object is placed 5 cm from a concave mirror with a focal length of 3 cm. a) [1.5 points] Complete the ray diagram below to determine the location of the image using at least two principal rays. Summarize the characteristics of the image (real/virtual, upright/inverted, larger/smaller/same size) from your diagram. Explain what these characteristics tell us about the signs of the image distance (di) and image height (hi). b) [1 point] Calculate the height of the image (hi) and its distance from the center of the lens (di). Show your work and note whether your results are consistent with your diagram above. c) [0.5 points) What is the magnification of the image (both sign and value)? How does the magnification tell you about the characteristics of the image? Show your work and explain. d) [1.5 points) How could you move the object such that the magnification is -2, rather than the value you calculated above? If this is not possible, state so explicitly. Explain.

3. [5 points total] Three balls (one black, one grey, and one white) are placed near a flat mirror, as shown in the (top view) diagram below. a) [1 point] Indicate the location of the images of the three balls in the mirror. Briefly explain how you determined their locations. b) [1.5 points] Determine the region where an observer would see the image of the black ball between the images of the white and grey balls (assume the actual balls do not block the observers' view of the images). Explain your reasoning. c) [1 point] Pick an observation location in the range that you determined above and draw the path that light travels from each of the three objects to this observer. It is sufficient to draw a single ray from each object but use a straight edge to make your diagram accurate. Use solid lines to show "real" light and dashed lines to show "fake" light. d) [1.5 points] Is there a location where an observer would see the image of the white ball between the grey and black balls? If so, indicate the region; if not, explain why not.

14. [-12 Points] DETAILS OSCOLPHYS2016 18.5.WA.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the electric field at the location of q, in the figure below, given that qb = 4c = 40 = +4.45 nC, q = -1.00 nC, and the square is 13.5 cm on a side. (The +x axis is directed to the right.) magnitude N/C direction o counterclockwise from the +x-axis 40 95 9 9c 90 Additional Materials Reading

= A ray of light from a liquid (u = V3) is incident on a system of two right angled prism of refractive indices V3andv2 as shown in the figure. The light suffers zero net deviation when it emerges into air from surface CD. If the angle of incidence (in degrees) is 5n. Find n ? liquid H = Va air H = V3 B

A pond of water is 5m deep. The flame is held 2m above the surface of water. A fish is at depth 4m from water surface. The refractive index of water is 4/3. The apparent height of flame from the eyes of fish is A. 8 3m B. 6m C. 5.5m Correct Answer D. 20 -m 3 TNT

A fish in a lake (refractive index 4/3 for water) is viewed through a convex lens. From water surface, the lens is placed in air at half of the distance of the fish from the water surface, so that the image is formed at the fish itself. The focal length of the lens is how many times the depth of fish in water? A. 4. B. 6 Correct Answer C. 7.5 D. 9

A point object is kept between a plane mirror and a concave mirror facing each other. The distance between the mirrors is 22.5cm . Plane mirror is placed perpendicular to principal axis of concave mirror. The radius of curvature of the concave mirror is 20cm . What should be the distance of the object from the concave mirror so that after two successive reflections the final image is formed on the object itself? (Consider first reflection from concave mirror) A. 5cm Correct Answer B. 15 cm C. 10cm D. 7.5cm

a The critical angle of a medium is 30°. Calculate the velocity of light in this medium, if the velocity of light in vacuum is 3 x 108ms-1 A. 3 x 108ms-1 Correct Answer B. 1.5 x 108 ms-1 C. 2 x 108ms-1 D. 2.5 x 108 ms -1

A plano-convex lens of refractive index 1.5 and radius of curvature 30 cm is silvered at the curved surface. Now, this lens has been used to from the image of an object. At what distance from this lens, an object be placed in order to have a real image of the size of the object? a

10. An object thrown upwards reaches a maximum height of 50.9 m. The speed with which it was thrown and the time take to reach the maximum height respectively are (1 point) A. 040.607 m/s and 1.002 s B. O 31.585 m/s and 3.223 s C. O 12.994 m/s and 1.002 s D. O40.607 m/s and 3.223 s E. O 31.585 m/s and 1.002 s 11. An object is thrown downwards from a 24.3 m building with a speed of 37 m/s. Its velocity just before it hits the ground and the time taken to hit the ground respectively are (1 point) A. 042.957 m/s and 0.608 s B. 0-11.839 m/s and 0.385 s C. 0-64.316 m/s and 0.608 s D. O-64.316 m/s and 0.385 s E. 0 42.957 m/s and 0.385 s Submit Query

An image is 4.0 mm in front of a converging lens with focal length of magnitude 5.0 mm. Where is the object for this image? 2.2 mm in front of the lens 9.0 mm behind the lens 2.2 mm behind the lens 20 mm in front of the lens

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