Someone please solve. A laser beam has a velocity in vacuum of c = 3 × 108 m/s.

Question

Someone please solve.

A laser beam has a velocity in vacuum of c = 3 × 108 m/s. A student runs an experiment in which a liquid is placed in a tank of length L = 14.9 m. The time it takes for the beam to make it across the tank is timed to be t = 43 ns.

(6%) Problem 9: A laser beam has a velocity in vacuum of c 3 10 m/s. A student runs an experiment in which a liquid is placed in a tank of length L 14.9 m. The time it takes for the beam to make it across the tank is timed to be t 43 ns. Randomized Variables L 14.9 m. t 43 ns. A 50% Part (a) Write an expression for the liquids index of refraction, n Grade S Deducti Potentia a 7 8 9 HOME Submiss Attempt 4 5 6 S% per 1 2 3 detailed Submit give up! Feedback: 2% deduction per feedback. Hints: 2% deduction per hint. Hints remaining: 2 A 50% Part (b) Numerically, what is this index

Explanation / Answer

a) Expression for the liquids index of refraction is

n = c / v

b) Given Data

c = 3 × 108 m/s.

L = 14.9 m.

t = 43 ns = 43*10^-9 s

v = L/t

= 14.9 m / 43*10^-9 s

= 3.46*10^8 m/s

Therefore

Index n = c/v

           = (3*10^8) / 3.46*10^8

           = 0.866

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