a ray of light entering a glass of refractive index 1.41 at an angle of incidence of 45.By how many degrees light change direction while entering the glass.
Answers
Answer:
sin45÷sinx=1.41
sinx=sin45÷1.41
sinx=1.41÷1.41\2
X =30
15 degree angle will be changed of the direction of light while entering into the glass.
31.2 degrees light change direction while entering the glass.
The amount by which a light beam changes its direction when it enters a medium with a different refractive index depends on the angle of incidence and the refractive indices of the two media involved. According to Snell's Law, it asserts the following:
where
is the angle of incidence (measured from the normal to the surface) and is the angle of refraction,
and are the refractive indices of the two media (also measured from the normal).
In this instance, the angle of incidence of the light beam is 45 degrees, entering a glass with a refractive index of 1.41.
Since air is so near to the vacuum, we may assume that the medium outside the glass, such as the air, has a refractive index of 1.
Snell's Law may be used to determine the angle of refraction in this way:
= sin(45) / 1.41
= arc sin(sin(45) / 1.41)
≈ 31.2 degrees
Hence, the light changes direction by nearly equal to 31.2 degrees when entering the glass.
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