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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 isstep by sep solution please
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/2But sin I =2sin I/2cosi/2After substituting and simplifying,We get:-cos I/2=m/2I/2=cos^-1(m/2)I=2cos^-1(m/2)
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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