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Aray of light passes from vacuum into a medium of refractive index m, the angle of incidence is found to be twice the angle of refraction. Then the angle of incidence is step by sep solution please

Aray of light passes from vacuum into a medium of refractive index m, the angle of incidence is found to be twice the angle of refraction. Then the angle of incidence is
step by sep solution please

Grade:12

1 Answers

Arun
25758 Points
3 years ago

Let angle of incidence equal to I.

So angle of refraction will be I/2.

sin I/(sin I/2)=m. (Snell's law)

sin I =nsin I/2

But sin I =2sin I/2cosi/2

After substituting and simplifying,

We get:-

cos I/2=m/2

I/2=cos^-1(m/2)

I=2cos^-1(m/2)

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