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A light beam is incident on a denser medium whose refractive index is 1.414 at an angle of incidence $$45^\circ$$. Find the ratio of width of refracted beam in a medium to the width of the incident beam in air.
$$\sqrt{3} : \sqrt{2}$$
$$1 : \sqrt{2}$$
$$\sqrt{2} : 1$$
$$\sqrt{2} : \sqrt{3}$$
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