Answer :
Answer:
0.399 ns
Explanation:
In order to calculate the total time, the time taken for light to pass through each layer must be calculated and summed up. The time taken in each layer is:
t = d/v
where:
t is the time taken, d is the thickness of the layer, and v is the speed of light.
v = c/n
where:
c is the speed of sound and n is the refractive index.
[tex]t_{1} = \frac{d_{1}}{v_{1}} = \frac{d_{1}n_{1}}{c}[/tex] = 0.05*1.46/3*10^8 = 2.43*10^-10 s
[tex]t_{2} = \frac{d_{2}n_{2}}{c}[/tex] = 0.01*1.5/3*10^8 = 5*10^-11 s
[tex]t_{3} = \frac{d_{3}n_{3}}{c}[/tex] = 0.02*1.59/3*10^8 = 1.06*10^-10 s
total time = [tex]t_{1} +t_{2} + t_{3}[/tex] = 2.43*10^-10 + 5*10^-11 + 1.06*10^-10 = 0.399*10^-9 s = 0.399 ns
The time taken should be 0.399 ns.
Calculation of the time taken:
We know that
Time taken = Thickness of the layer / speed of the light
Also,
v = speed of sound/refractive index.
Now
T1 = 0.05*1.46/3*10^8 = 2.43*10^-10 s
t2 = 0.01*1.5/3*10^8 = 5*10^-11 s
t3 = 0.02*1.59/3*10^8 = 1.06*10^-10 s
So,
total time is
= 2.43*10^-10 + 5*10^-11 + 1.06*10^-10 = 0.399*10^-9 s
= 0.399 ns
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