1. The magnified image of a nickel has twice the diameter of the nickel when the

Question

1. The magnified image of a nickel has twice the diameter of the nickel when the lens is 2.84 cm from the nickel. Determine the focal length of the lens.
Hint: The correct answer is in the range of: 5.05 cm to 6.30 cm
2. A certain LCD projector contains a single thin lens. An object 24.2 mm high is to be projected so that its image fills a screen 1.80 m high. The object-to-screen distance is 3.00 m. How far from the object should the lens of the projector be placed in order to form the image on the screen?
Hints: You can determine if the image is real or virtual. Note that the object to screen distance is not p. Be careful to put all distances in the same units, but you can use either mm or m everywhere. The correct answer is in the range of: 32.5 mm to 46.1 mm 1. The magnified image of a nickel has twice the diameter of the nickel when the lens is 2.84 cm from the nickel. Determine the focal length of the lens.
Hint: The correct answer is in the range of: 5.05 cm to 6.30 cm
2. A certain LCD projector contains a single thin lens. An object 24.2 mm high is to be projected so that its image fills a screen 1.80 m high. The object-to-screen distance is 3.00 m. How far from the object should the lens of the projector be placed in order to form the image on the screen?
Hints: You can determine if the image is real or virtual. Note that the object to screen distance is not p. Be careful to put all distances in the same units, but you can use either mm or m everywhere. The correct answer is in the range of: 32.5 mm to 46.1 mm 1. The magnified image of a nickel has twice the diameter of the nickel when the lens is 2.84 cm from the nickel. Determine the focal length of the lens.
Hint: The correct answer is in the range of: 5.05 cm to 6.30 cm
2. A certain LCD projector contains a single thin lens. An object 24.2 mm high is to be projected so that its image fills a screen 1.80 m high. The object-to-screen distance is 3.00 m. How far from the object should the lens of the projector be placed in order to form the image on the screen?
Hints: You can determine if the image is real or virtual. Note that the object to screen distance is not p. Be careful to put all distances in the same units, but you can use either mm or m everywhere. The correct answer is in the range of: 32.5 mm to 46.1 mm 2. A certain LCD projector contains a single thin lens. An object 24.2 mm high is to be projected so that its image fills a screen 1.80 m high. The object-to-screen distance is 3.00 m. How far from the object should the lens of the projector be placed in order to form the image on the screen?
Hints: You can determine if the image is real or virtual. Note that the object to screen distance is not p. Be careful to put all distances in the same units, but you can use either mm or m everywhere. The correct answer is in the range of: 32.5 mm to 46.1 mm

Explanation / Answer

Magnification=-v/u=2

If u=2.84 cm

v will be =2u=-5.78 cm

Using

1/v+1/u=1/f

Solving this we got

f=5.2 cm

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