Hi, I was wondering if you can help me with this problem. A laser beam is direct

Question

Hi, I was wondering if you can help me with this problem.

A laser beam is directed at the flat end of a fiber optics glass with index of refraction
nf as shown in the diagram. The maximum angle of incident i = 37 if the beam is
not to escape on the other side. What is the index of refraction nf of the fiber? Take
n air = 1

PLEASE EXPLAIN FULLY

LAST: - FIRST: (a) A laser beam is directed at the flat end of a fiber optics glass with index of refraction ng as shown in the diagram. The maximum angle of incident 0; = 37° if the beam is not to escape on the other side. What is the index of refraction ny of the fiber? Take air = 1. (15 Pts.) (b) A lighted candle is placed 25 cm to the left of a diverging lens of focal ler A converging lens of fe = 12 cm is placed 30 cm to the right of the diverg The two-lens system forms a real inverted image 17 cm to the right of the c lens. Calculate the focal length of the diverging lens fd. (15 Pts.)

Explanation / Answer

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use from Snells law

n1 sin A = nb Sin B

n1/nf = sin r /sin i

1/nf = sin r/(sin i

fron TIR,

Sin C = 1/nf     as B = 90 deg

so r = 90 -c

so Sin c = sin (90-c)/sin 37

tan c = 1.6616

thus C = 59 deg

so nf = 1/sin c

nf = 1/sin 59

nf = 1.16 is the refractince index

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