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1. The National Museum of Photography, Film & Television, in England, has a huge converging lens with a diameter of 1.37 m and a focal length of 8.45 m. Suppose you use this lens as a magnifying. At what distance would a friend have to stand for the friend%u2019s image to appear 20 m in front of the lens? What is the image magnification?
2. The common musk turtle, also called a %u201Cstinkpot%u201D, has a length of 7.85 cm at maturity. Suppose a turtle with this length is placed in front of a diverging lens that has a focal length of 14.0 cm. If the turtle%u2019s image is 4.00 cm across, how far is the turtle from the lens? How far is the turtle%u2019s image from the lens?
3. The body of the rare thread snake is as thin as a match, and the longest specimen ever found was only 118 mm long. If a thread snake of this length is placed a distance equal to four times its length from a diverging lens and the lens has a focal length of 216 mm, how long is the snake%u2019s image? How far from the lens is the image?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
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