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The image shows a ray of light bending at the boundary of a glass block. According to a law of optics, = n, where n is a constant. Which equation states the same law in terms of a and b?

The image shows a ray of light bending at the boundary of a glass block According to a law of optics n where n is a constant Which equation states the same law class=

Respuesta :

The law of optics applicable in this scenario is the Snell's Law which states that the ratio of the index of refraction of two media is equal to the ratio of the sine of the angle of reflection and sine of the angle of refraction. In equation form:
n₁ / n₂ = sin b / sin a

The equation that states the same law in terms of a and b is C. [tex]\frac{cos a}{cos b} = n[/tex]

Calculations and Parameters

The formula for the light bend would be [tex]n1*sin*i= n2 * sin*r[/tex]

Applying the "sin (90-x)= cos x" principle, we would get:

n1*sin i= n2 * sin r

n1 * cos a= n2 * cos b

n2/n1= cos a/ cos b

Therefore, if we are to assume that the n constant is the ratio of the glass compared to water then the answer would be: [tex]\frac{cos a}{cos b} = n[/tex]

Read more about laws of optics here:

https://brainly.com/question/14298718

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