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A converging lens of focal length 20 cm ...

A converging lens of focal length 20 cm and diameter 5 cm is cut along the line AB . The part of the lens shown shaded in the diagram is now used to form an image of a point P placed 30 cm away from it on the line XY which is perpendicular to the plane of the lens. The image of P will be formed.

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The correct Answer is:
D

u = -30 cm , `h_(0) = +0.5 "cm", f= 20 "cm"`

`v = (uf)/(u+f) = (-30xx20)/(-30+20) = 60 "cm"`
`m = (v)/(u)' = (+60)/(-30) = -2`
`h_(1) = mh_(0) = -2 xx 0.5 = -1` cm from P axis
`1+ 0.5 = 1.5 "cm"` below xy.
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ALLEN -GEOMETRICAL OPTICS-EXERCISE- 01
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