013 (part 1 of 3) 10.0 points At an instant of time, t = 0, a light source at S

Question

013 (part 1 of 3) 10.0 points At an instant of time, t = 0, a light source at S turns on and maintains constant intensity for a time interval t and then turns off. The rays propagate parallel to the vacuum-glass interface of a block of glass having length l = 8.76 m and index of refraction ni-1.46 at the wavelength of the light source. The light is received by a detector D which can detect light traveling both through the vacuum and the medium source() ->n=1.00 At what time is the signal first received at the detector? The speed of light is 2.998 × 108 m/s Answer in units of s 014 (part 2 of 3) 10.0 points At what time is there a substantial increase in the detected signal? Answer in units of s. 015 (part 3 of 3) 10.0 points What is the longest time the source can be left on in order for the detector to receive two distinct pulses? Answer in units of s.

Explanation / Answer

from the given data

n1 = 1.46

l = 8.76 m

a. now, first signal is recieved by the detector at time t1 = l/c = 2.92*10^-8 s

b. the substantial increase in signal is when the light from the slab also reaches the detector

so this happens at time t2 = l*n1/c = 4.2632*10^-8 s

c. let the longest time for which the source can be switched on for detector to recieve two distinct pulses be dt

then

dt = t2 - t1 = 1.3432*10^-8 s

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