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As part of an honors project, a student wishes to construct a series of lenses w

ID: 1475508 • Letter: A

Question

As part of an honors project, a student wishes to construct a series of lenses with different focal lengths. Not having glass grinding equipment, the student makes a series of lenses by partially filling cylindrical containers with water (n = 4/3). For the container to the right with radius 4.0cm, what is the focal length of the lens? Ignore the glass of the container and assume a thin lens. You do not need to know the thickness of the water to complete the problem. You are playing a game where you drop a coin into a water tank and try to land it on a target. You often find this game at fast food places as part of a fundraiser. The sides of the tank are flat and the target is 6in from the side of the tank. Your eye is 9in from the side of the tank. Water has index of refraction of 4/3. If you drop the coin accurately and it falls straight down to the location where the target appears to be, how far are you off? Does the coin fall in front or behind the target as you look at it? The power output of the sun is 3.846 Times 10^26W and the radius of the sun (approximately) is 6.96 Times 10^8m. Calculate the total force at normal incidence on a perfectly reflecting circular mirror of area 1m^2 placed at the sun's surface (before it vaporizes).

Explanation / Answer

the focal length is equal to half the radius of the curvature of lens.

f = R/2 = 4 cm/2 = 2 cm

hence, option b is correct answer.