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The index of refraction of a type of glass is 1.50, and the index of refraction of water is 1.33. If light enters water from this glass, the angle of refraction will be

Answer :

The angle of refraction is greater than the angle of incidence

What will be the angle of refraction?

From Snell's law of refraction, we can write the equation

[tex]n_1sin\theta_1= n_2sin\theta_2[/tex]

here;

[tex]n_1[/tex] is the refractive index of incidence medium

[tex]\theta_1[/tex]is the angle of incidence

[tex]n_2[/tex]is Refractive index of refraction medium

[tex]\theta_2[/tex] is the angle of refraction

Its is given  [tex]n_1[/tex] = 1.5 and [tex]n_2[/tex] = 1.33

Thus;

[tex]1.5sin\theta_1=1.33sin\theta_2[/tex]

by rearranging the equation we have;

[tex]\dfrac{Sin\theta_1}{Sin\theta_2} =\dfrac{1.33}{1.5}[/tex]

We know from trigonometry, that sin 0 = 0 and sin 90 = 1. So, as θ approaches 0°,

The value of sinθ decreases while as it approaches 90°, the value of sinθ increases.

Thus, by inspection, we can say that the value of the denominator is higher than the numerator.

Thus, θ2 is greater than θ1

Thus the angle of refraction is greater than the angle of incidence

To know more about the refractive index follow

https://brainly.com/question/10729741

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