Calculate the refractive index of a prism if the angle of prism is 60o and angle of minimum deviation is 30o ?
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Step-by-step explanation:
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Let x be the base of the triangle, then the altitude will be (x−7).
By Pythagoras theorem,
x
2
+(x−7)
2
=(13)
2
2x
2
−14x+49−169=0
2x
2
−14x−120=0
x
2
−7x−60=0
x
2
−12x+5x−60=0
(x−12)(x+5)=0
x=12,x=−5
Since the side of the triangle cannot be negative, so the base of the triangle is 12cm and the altitude of the triangle will be 12−7=5cm.
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