When a ray of light enters a medium of refractive index μ, it is observed that the angle of refraction is half of the angle of incidence is than angle of incidence is
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a
2cos−1(μ/2)
b
cos−1(μ/2)
c
2cos−1(μ)
d
2sin−1(μ/2)
answer is A.
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Detailed Solution
From Snell’s lawμ=sinisinrgiven r = i2so ; μ=sinisini2=2sini2cosi2sini2= 2cosi2μ=2cosi2∴μ2=cosi2i2=cos−1μ2i=2cos−1μ2