A ray PQ incident on the refracting face BA is refracted in the prism BAC as shown in the figure and emerges from the other refracting face AC as RS such that $$AQ=AR$$. If the angle of prism $$A=600$$ and the refractive index of the material of prism is $$3$$, then the angle of deviation of the ray is

Question

A ray PQ incident on the refracting face BA is refracted in the prism BAC as shown in the figure and emerges from the other refracting face AC as RS such that $$AQ=AR$$. If the angle of prism $$A=600$$ and the refractive index of the material of prism is $$3$$, then the angle of deviation of the ray is

Infinity Learn · Accepted Answer

Given $$AQ=AR$$ and ∠$$A=60$$∘ ∴ ∠$$AQR=$$∠$$ARQ=60$$∘ ∴ $$r1=r2=30$$∘ Applying Snell's law on face AB .  $$1$$. $$sin$$⁡$$i1=$$μ$$sinr1$$ ⇒$$sini1=3sin$$⁡$$30$$∘$$=3$$×$$12=32$$∴ $$i1=60$$∘ Similarly, $$i2=60$$∘ In a prism, deviation  δ$$=i1+i2$$−$$A=60$$∘$$+60$$∘−$$60$$∘$$=60$$∘

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A ray PQ incident on the refracting face BA is refracted in the prism BAC as shown in the figure and emerges from the other refracting face AC as RS such that AQ=AR. If the angle of prism A=600 and the refractive index of the material of prism is 3, then the angle of deviation of the ray is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material