Help please, show all work to get points. Using the apparatus shown in Fig. 1, y

Question

Help please, show all work to get points.

Using the apparatus shown in Fig. 1, you will measure the speed of light by measuring the difference in time of flight of light pulses along two paths for which you know the difference in length. Consider a similar experiment with the apparatus in the configuration shown here with which you might determine the speed of light in water. If you first record the time of arrival of light pulses at the detector with the tube empty, what change At in the time of arrival of the pulses should you expect if the tube is filled with water? The index of refraction of water is 1.33.

Explanation / Answer

so time when empty = L/c

time when full = L/v = L/(c/n) = n L/c

so difference = nL/c - L/c = (n-1) L/c = (1.33-1)*5/3.0E8= 5.5E-9 s

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