Rays of light are entering from air to water. If the angle of incidence at the surface separating two mediums is 70°, find the angle of refraction of light in water. Absolute refractive index of water is 1.33.
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sinA/sinB=1.33
A=70°
sin70°=0.7738
sinB=0.7738/1.33
sinB=0.5818
B=35.57°
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Answer:
the angle of refraction is 34.75°
Explanation:
It is given to us that :
The angle of incidence is 70°
So, we know :
= r
Here, "r" represents the refractive index
sin i = angle of incidence
sin r = angle of refraction.
Hence, sin 70 = sin (r) x 1.33
or, 0.77 = sin(r) x 1.33
or, 0.77 / 1.33 = sin r
or, 0.57 = sin r
or, r = sin⁻¹ (0.57)
or, r = 34.75°
Therefore, the angle of refraction is 34.75°
Refractive index :
- it is defined as the ratio of the angle of incidence to the angle of refraction of alight ray that travels from rarer medium to denser medium.
- It is also the ratio of the speed of light in vacuum medium to the speed o light in the second medium which has a greater density.
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