1.

A ray is incident on a sphere of refractive index sqrt(2) sown in figure. Angle of refraction of the ray inside sphere is 30^(@). If total deviation suffered by the ray is 30x^(@), then find x

Answer»


Solution :`(SIN(i))/(sinr)=sqrt(2)impliesi=45^(@)`
TOTAL deviation
`=(45.^(@)-30.^(@))+180.^(@)-2(30.^@)+(45^(@)-30^(@))`
`(30^(@)+120^(@)`
`=150^(@)=30x`
`x=5`.


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