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A convex lens of focal length 1.5m is pl...

A convex lens of focal length 1.5m is placed in a system of coordinate axis such that its optical centre is at origin and principa, axis coinciding with the x-axis. An object and a plane mirror are arrange on theh principal axis as shown in figure. Find value of d (in m) so that y-coordinate of image (after refraction and reflection ) is 0.3m. (Take `tan theta=0.3)`

Text Solution

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The correct Answer is:
5
`(1)/(v)-(1)/(u)=(1)/(f)`
`(1)/(v)-(1)/(-2)=(1)/(1.5),v=6m`
`m=(v)/(u)=-3`
`x=6-d,`
`tantheta=(0.3)/(x)`
`rArr d=5m`
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