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A ray of light undergoes deviation of 30...

A ray of light undergoes deviation of `30^(@)` when incident on a n equilateral prism of refractive index `sqrt(2)`. The and made by the ray inside the prism with the base of the prism is `"________________"`.

Text Solution

Verified by Experts

For minimum deviation,
`mu=sin(A+(delta_(m))/(2))/(sin((A)/(2)))=("sin"((60+30)/2))/(sin(60/2))=(sin45^(@))/(sin30^(@))=sqrt(2)`
Since `mu=sqrt(2)` (given for the prism), the condition is for minimum deviation. In this case, the ray iniside the prism becomes parallel to the base. Therefore, the angle made by the ray inside the prism with the base of the prism is zero
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Knowledge Check

  • A ray of light undergoes deviation of 30^(@) when incident on an equilateral prism of refractive index sqrt(2) . The angle made by the ray inside the prism with the base of the prism is

    A
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    `30^(@)`
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    `45^(@)`
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