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6 December, 21:36

A flashlight beam strikes the surface of a pane of glass (n=1.56) at a 71° angle to the normal. What is the angle of refraction? Express your answer using two significant figures

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  1. 6 December, 22:06
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    The angle of refraction is 37°.

    Explanation:

    let n1 be the refractive index of glass and n2 = 1.0 be the refraction index of air, θ be the angle of incidence, ∅ be the angle of refraction.

    then, according to Snell's law:

    n1*sin (∅) = n2*sin (θ)

    sin (∅) = n2*sin (θ) / n1

    = (1.0) (sin (71°)) / (1.56)

    = 0.606101651

    ∅ = 37°

    Therefore, the angle of refraction is 37°.
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