A 1000-kg automobile moving with a speed of 24 m/s relative to the road collides with a 500-kg automobile initially at rest. If the two stick together, what is the velocity in m/s of the two cars after the collision according to an observer in a truck moving 10 m/s in the same direction as the moving cars?
a. 6
b. 11
c. 24
d. 26
e. 31
[Ques. 2] The laws of refraction and reflection are the same for sound as for light. The speed of sound in air is 340 m/s and in water it is 1510 m/s. If a sound wave approaches a plane water surface at an angle of incidence of 12.0, what is the angle of refraction?
[Ques. 3] The index of refraction for red light in water is 1.331 and for blue light is 1.340 . If a ray of white light enters the water at an angle of incidence of 83.00, what are the underwater angles of refraction for the blue and red components of the light?
[Ques. 4] A layer of kerosene (n = 1.45) is floating on water (n = 1.33). For what angles of incidence at the kerosene-water interface will light be totally internally reflected within the kerosene?
[Ques. 5] A laser beam is incident from the air at an angle of 30.00 to the vertical onto a solution of Karo syrup in water. If the beam is refracted to 19.24 to the vertical, what is the index of refraction of the syrup solution?
[Ques. 6] When light is either reflected or refracted, the quantity that does not change in either process is its
a. direction of travel.
b. dispersion.
c. frequency.
d. speed.
e. wavelength.
[Ques. 7] A monochromatic (single frequency, single wavelength) light ray in air (n = 1) enters a glass prism (n = 1.5). In the glass prism
a. both the frequency and the wavelength are the same as in air
b. the frequency is the same, but the wavelength is greater than in air.
c. the frequency is the same, but the wavelength is smaller than in air.
d. the wavelength is the same, but the frequency is greater than in air.
e. the wavelength is the same, but the frequency is smaller than in air.
[Ques. 8] A layer of water (n = 1.333) floats on carbon tetrachloride (n = 1.461) contained in an aquarium. To the nearest degree, what is the critical angle at the interface between the two liquids?
a. 88
b. 78
c. 66
d. 58
e. 43
[Ques. 9] A layer of ethyl alcohol (n = 1.361) is on top of water (n = 1.333). To the nearest degree, at what angle relative to the normal to the interface of the two liquids is light totally reflected?
a. 78
b. 88
c. 68
d. 49
e. the critical angle is undefined
[Ques. 10] A diver shines an underwater searchlight at the surface of a pond (n = 1.33). At what angle (relative to the surface) will the light be totally reflected?
a. 47.3
b. 41.2
c. 51.1
d. 58.7
e. 49.8
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