In our lab class, we obtained the index of refraction n of glass by observing th

Question

In our lab class, we obtained the index of refraction n of glass by observing the critical angle for total internal reflection from a semi-circular piece of glass. a) Obtain the value of n if (at the critical angle) the path of the light ray is as shown in the figure. b) What is the speed of light in this piece of glass? A loud speaker high up on a pole is radiating 100 watts of audio power uniformly in all directions. a) What is the intensity of audio sound at a distance of 3 meters from the speaker. b) What is the decibel level for the sound. II. A long solenoid of radius 1.5 cm and length 20 cm produces a magnetic field of 0.1 tesla at its center when carrying a current i = 3 amperes. a) How many turns N of wire does the solenoid have? b) The middle section of the solenoid is surrounded by a single loop of wire containing a resistance r = 5 ohms. If the current in the solenoid is increasing at the rate of 7 amperes per second, what is the current in the loop of wire? c) Is the induced current from a to b or from b to a in the figure? Consider two square parallel plates of length L = 10 cm on a side and separation d = 0.2 cm, carrying uniform densities of opposite sign. There is a total charge Q = 6 nanocoulombs on the positive plate. (Neglect the fringing fields.) a) What is the electric field between the plates? b) What is the voltage difference between the plates? c) What is the capacitance of the arrangement?

Explanation / Answer

The refractive index of glass is,

n=1/sin(c)

n=1/sin37

n=1.66

The speed of light in glass is,

v=c/n

v=3*10^8/1.66

v=1.8*10^8 m/s

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