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Q.

A thin converging lens of focal length f=1.5 m is placed along y-axis such that its optical centre coincides with the origin. A small light source S is placed at (2.0 m, 0.1m). A plane mirror inclined at an angle θ is placed such that y co-ordinate of final image is 0.3m(tanθ =0.3)

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The value of d is __________ in m.

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answer is 5.

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Detailed Solution

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For then lens, u = - 2.0 m, f = +1.5 m
1v=12.0=11.5or  v6.0m  
 m=6.02.0=3.0m
Therefore, y coordinate of image formed by lens is m(0.1)= - 0.3m
 
0.9NP=tanθ=0.3    NP=MP=1.0mor    d=6.01.0=5.0m

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