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Question

What is speed of light in a denser medium of Polarising angle 30?


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Solution

Step 1: Given data

Polarising angle, θ=30

Let the speed of light be c=3×108m/s

Step 2: Formula used

refractiveindex=tanpolarisingangleμ=tanθ

refractiveindex=speedoflightinthevacuumspeedoflightinthedensermediumμ=cv

Step 3: Calculation for the refractive index

refractiveindex=tanpolarisingangleμ=tanθμ=tan30μ=13

Step 4: Calculation for the speed of light in a denser medium

refractiveindex=speedoflightinthevacuumspeedoflightinthedensermediumμ=cvv=cμv=3×108m/s13v=3×3×108v=5.2×108m/s

Hence, the speed of light in a denser medium is 5.2×108m/s


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