A point source S of monochromatic light is located on the bottom of a swimming p

Question

A point source S of monochromatic light is located on the bottom of a swimming pool filled with water to a depth of 1.0 meter, as shown below. The index of refraction of water is 1.25 for this light. Point P is located on the surface of the water directly above the light source. A person floats motionless on a raft so that the surface of the water is undisturbed. Consider the approximate path of a ray of light from the source S to the eye of the person. Determine the velocity of the source's light in water. Angle calculation is unnecessary. Answer in units of m/s. Determine the critical angle for the air-water interface. Answer in units of degree. If the object distance for a converging thin lens is more than twice the focal length of the lens, the image is

Explanation / Answer

depth, d = 1 m
n, refractive index = 1.25

1. velocity of light in water = c/n = 3*10^8/1.25 = 3.4*10^8 m/s
2. critical angle = theta
   then
   sin(theta)/sin(90) = 1/n
   sin(theta) = 1/1.25
   theta = 53.13 deg
3. for v ( image distance ) > 2f ( focal length)
then image is real and dmininshed for converging lens

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