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When a ray of light passes from material 1 to material 2:

N1 sin θ1 = N2 sin θ2

where N1 & N2 are the refractive indices of the materials, and θ1 is the angle of incidence, θ2 the angle of refraction.

From air to the material:

N1 = 1.00,

θ1 = 40°,

θ2 = 50°,

N2 = unknown, the index of refraction of the material:

→ 1.00 x sin 50° = N2 x sin 40°

→ N2 = 1.00 x sin 50° ÷ sin 40°

→ N2 ≈ 1.1917 (the index of refraction of the material)

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Q: What is the index of refraction of a material if the angle of incidence in air is 50 degrees and the angle of refraction in the material is 40 degrees?
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Continue Learning about Other Math

How many images will be formed when a candle is placed between two plane mirrors at 40 cm's apart?

The answer depends on the angle between the mirrors. The distance between the mirrors does not, in theory, make any difference. If the angle between the mirrors is x degrees, then the theoretical number of images is (360/x)- 1 which is rounded down. In practice, minor defects in the mirrors, refraction, total internal refraction, absorptions, scattering etc will reduce the number of images.The answer depends on the angle between the mirrors. The distance between the mirrors does not, in theory, make any difference. If the angle between the mirrors is x degrees, then the theoretical number of images is (360/x)- 1 which is rounded down. In practice, minor defects in the mirrors, refraction, total internal refraction, absorptions, scattering etc will reduce the number of images.The answer depends on the angle between the mirrors. The distance between the mirrors does not, in theory, make any difference. If the angle between the mirrors is x degrees, then the theoretical number of images is (360/x)- 1 which is rounded down. In practice, minor defects in the mirrors, refraction, total internal refraction, absorptions, scattering etc will reduce the number of images.The answer depends on the angle between the mirrors. The distance between the mirrors does not, in theory, make any difference. If the angle between the mirrors is x degrees, then the theoretical number of images is (360/x)- 1 which is rounded down. In practice, minor defects in the mirrors, refraction, total internal refraction, absorptions, scattering etc will reduce the number of images.


Why should you keep the prism in minimum deviation position?

f a line is drawn parallel to the angle of incidence axis (X-axis), it cuts the graph at two points, showing that there are two values of angle of incidence for an angle of deviation. However, at the point of angle of minimum deviation, the line will be tangent to the curve showing that for minimum angle of deviation there is only one angle of incidence.


What kind of angle measures 193 degrees?

The angle that 193 degrees is an octuse angle. 90 degrees is a right angle.


What is the reference angle for an angle with the measure of 175 degrees?

The reference angle for an angle with the measure of 175 degrees is 5 degrees


What type of angle is 52 degrees?

An angle of 52 degrees, as with any angle between 1 and 89 degrees, is an acute angle.

Related questions

What is the incidence angle at which the angle of refraction is 90 degrees called?

A right angle.


What is the seize of the angle of refraction if the angle incidence is 0 degrees?

The answer is zero. (From Snell's law, if AI in the angle of incidence, AR is the angle of refraction, and n is the refractive index of the material doing the refracting, then: AR = arcsin[(1/n)sin(AI)] =0 if AI=0.


How do you compare the angle of incidence and the angle refraction?

The angles of light are the result of the law of sines: sine( incidence angle)/speed of incidence = sine(refraction angle)/ speed of refraction


Does doubling the angle of incidence cause the angle of refraction to double?

No, doubling the angle of incidence itself will not cause a doubling of the angle of refraction.


Why is it necessary for the angle of refraction to be equal to the angle of incidence when the angle of incidence is zero?

when the angle of refraction is zero you still need an angle of incidence because it still reflects back.


The angle of reflection is equal to the .......?

The angle of incidence


How angle of incidence affect refractive index of a material?

The angle of refraction is the angle between the refracted ray and the normal (a perpindicular line to the tangent and the plane of the surface). A ray that enters at the normal angle leaves at the normal angle; there is no angle between the ray and the normal, so it is 0o.


When a beam of light passes at an oblique angle into a material of lower optical densitythe angle of incidence is?

greater than the angle of refraction


When a beam of light passes at an oblique angle into a material of lower optical density the angle if incidence is what?

less than the angle of refraction.


When a beam of light passes at an oblique angle into a material of lower optical density?

The angle of incidence is the angle at which a ray of light (which is not at right angles to a surface) strikes a surface. The angle of refraction is the angle at which a ray of light, having passed through a surface, travels through the body of a substance. Normally the angle of incidence and the angle of refraction are not the same.


How does the angle of refraction compare to the angle of incidence measured from the normal when going from air to water?

Angle of refraction will be less compared to the angle of incidence in this case.


When angle of incidence is equal to angle of refraction?

The second angle of incidence is equal to the angle of refractions.