(a) The speed of light inside a material is 1.7 x 10 8 m/s. What is the refracti
ID: 1440725 • Letter: #
Question
(a) The speed of light inside a material is 1.7 x 108 m/s. What is the refractive index
of this material.
(b) A light ray traveling in air strikes the surface of a piece of glass of refractive
index 1.55, making an angle of 75° with the normal. At what angle it will refract
inside the glass.
(c) A light ray traveling in water of refractive index 1.33, strikes a piece of glass of
refractive index 1.51, making certain angle i with normal. If the angle of
refraction is 35°, find the angle of incidence i ?
(d) You are passing by a small pool full of a clear liquid. You don’t know if
the liquid is water or something else. You checked that the apparent depth of the
pool is 4 m. You jumped inside the pool and found that the real depth of the pool
is 6 m. What is the index of refraction of the liquid inside the pool? Using table
23.1 in the textbook and find what liquid is there in the pool.
Explanation / Answer
( a )
From the definition of refractive index,n
n = c / V
Here, c is speed of light
n = 3 x108 m/s / 1.7 x 108 m/s = 1.764
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Use Snell's law
n1 sin 1 = n2 sin2
( 1 ) sin 75° = ( 1.55 ) sin2
Solve for 2
2 = 38.54o
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Use Snell's law
n1 sin 1 = n2 sin2
( 1.33 ) sin 1 = ( 1.51 ) sin35o
Solve for 1
1 = 40.6o
(Please post other quetions separately)
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