Hey, I am having trouble with these. If anyone could help, I would be very grate

Question

Hey, I am having trouble with these. If anyone could help, I would be very grateful!

Thanks!

You are constructing a device in which light passes through a small aperture then strikes a detector some distance away. The entire device is filled with glass (n 1.45). At what distance from the aperture (in meters) should you place the detector in order to have a 10 nanosecond delay between the moment the light passes through the aperture and the moment it strikes the detector? Keep 2 digits after decimal point. Your answer should be formatted like: 0.00

Explanation / Answer

speed of light in that medium

v = c / n = (3 x 10^8) / 1.45 = 2.07 x 10^8 m/s

d = v t

t = 10 ns = 10 x 10^-9 s

d = (2.07 x 10^8) (10 x 10^-9)

d = 2.07 m ........Ans

----------------------

t1 = w / c

t2 = w / v = w / (c/n) = w n / c

t2 - t1 = (w / c) (n - 1)

5 x 10^-9 = (w / (3 x 10^8)) (1.5 - 1)

w = 3 m

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