1.

A linear object of size 1.5cm placed at 10cm from a lens of focal length 20cm. The optic centre of lens and the object are displaced a distance Delta. The magnification of the image formed is m (Take optic centre as origin). The coordinates of image of A and B are (x_(1),y_(1)) and (x_(2),y_(2)) respectively. Then

Answer»

`(x_(1),y_(1))=(-20cm, -1cm)`
`(x_(2),y_(2))=(-20cm, 2cm)`
`m=3`
`m=2`

Solution : `U=-10cm, F=20cm`
`(1)/(u)-(1)/(V)=(1)/(f)`
`(1)/(v)=(1)/(20)-(1)/(20)=(1-2)/(20)=(-1)/(20)rArrv=-20cm`
Magnification `m=(v)/(u)=(-20)/(-10)=2`
Height of IMAGE `=1.5xx2=3cm`
The `y_(1)` coordinate of a point A on the image will be
`y_(1)=(0.5)xx2=-1cm`
The `y_(2)` coordinate of a ppoint B on the image will be
`y_(2)=1xx2=2cm`


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