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Mirror in the arrangement shown in figure is moving up with speed 4 centimetre per second. Find the speed of final image of object O formed after two refraction and one reflection.

Mirror in the arrangement shown in figure is moving up with speed 4 centimetre per second.  Find the speed of final image of object O formed after two refraction and one reflection.

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Grade:12th pass

1 Answers

Md Mushahid
21 Points
4 years ago
refer the fig
 
apparent distance of mirror from 0 and mirror =x+\frac{y}{\mu }
 
distance between o and image = 2\left (x+\frac{y}{\mu } \right )
 
v =\frac{d\left ( distance \right )}{dt}
 
v =2\left ( \frac{dx}{dt} +\frac{1}{\mu }\frac{dy}{dx} \right )
v =2\left ( 0 +\frac{1}{\frac{4}{3}}\times 8\right )
v =2\left ( \frac{3}{4}\times 8\right )
v = 12 \frac{cm}{sec}
 the speed of final image of object O formed after two refraction and one reflection is 12cm/sec
 

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