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A ray of light while travels …

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A ray of light while travels from denser to rarer medium undergoes total internal reflection. Derive expression for critical angle in terms of speed of light in two mediums.

    • Posted by Jass . 4 years, 7 months ago

    CBSE > Class 12 > Physics
    • 1 answers

    बेबि बीच 4 years, 7 months ago

    Let a ray from medium 1 (rarer) to enter medium 2(denser) such that refractive index occurs, now, Using snell's law, n1 sin i = n2 sin r where i is angle lf incidence and r is angle of refraction. Now since total internal reflection is occuring here, angle r = 90° Using this in snells law we get, n1 sin i = n2 ic = critical angle (ic) here, sin ic=(n2/n1) since n(refractive index) = speed of ray in vaccum / speed in medium, Therefore, sin ic= (c/v1)/(c/v2) = v2/v1 Therefore critical angle = v2/v1

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