Light Refraction at 40 Degrees: Material 1 to Material 2

AI Thread Summary
A ray of light strikes the interface between two materials at an incidence angle of 40 degrees. The index of refraction for material 2 is 1.5 times that of material 1. Using Snell's law, the refraction angle is calculated to be 25.4 degrees. This indicates that the light bends towards the normal as it enters material 2. The calculation demonstrates the relationship between the indices of refraction and the angles of incidence and refraction.
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A ray of light strikes an interface between materials 1 and 2 and enters the new material(2). The angle of incidence is 40 degrees. The index in material 2 is 1.5 times that of material 1. The refraction angle is ( in degrees):
 
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athenaroa said:
A ray of light strikes an interface between materials 1 and 2 and enters the new material(2). The angle of incidence is 40 degrees. The index in material 2 is 1.5 times that of material 1. The refraction angle is ( in degrees):

Use Snell's law.
 


To calculate the refraction angle in this scenario, we can use the equation n1sinθ1 = n2sinθ2, where n1 and n2 are the indices of refraction for materials 1 and 2, and θ1 and θ2 are the angles of incidence and refraction, respectively.

In this case, we know that the angle of incidence is 40 degrees and the index of material 2 is 1.5 times that of material 1. So, we can plug in these values to the equation and solve for θ2.

n1sin(40) = (1.5n1)sinθ2

0.643n1 = 1.5n1sinθ2

sinθ2 = 0.643/1.5 = 0.429

θ2 = sin^-1(0.429) = 25.4 degrees

Therefore, the refraction angle is 25.4 degrees when light enters material 2 at an angle of 40 degrees. This means that the light will bend towards the normal as it enters material 2.
 
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