Angle of deviation

Geometry Level 2

A light ray incidents on an equilateral triangle with an angle of 30 degree. Find the angle of deviation of the emergent light ray if the angle of emergence from the second surface is 70 degree.

53 degree 30 degree 40 degree None of the above 85 degree 35 degree

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1 solution

Saksham Mittal
Nov 3, 2017

Angle of incidence(i1)=30 degree Angle of emergence(i2)=70 degree Angle of prism(A)=60 degree since the prism is an equilateral prism i1+i2=A+d d=i1+i2-A d=70+30-60 Angle of deviation(d)=40 degree

Could you please elaborate this I am not able to understand.

Sumukh Bansal - 3 years, 6 months ago

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Look...we have been given angle of incidence(i1)=30 Angle of emergence (i2)=70 And as the prism is an equilateral triangle so angle of prism(A) will be 60 Now, i1+i2 = A+d(Angle of deviation) d=i1+i2-A d=70+30-60 Thus Angle of Deviation is 40 degrees

Saksham Mittal - 3 years, 6 months ago

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Thank you @Saksham Mittal

Sumukh Bansal - 3 years, 6 months ago

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@Sumukh Bansal @Sumukh Bansal welcome!!

Saksham Mittal - 3 years, 6 months ago

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