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A point object is placed on the principa...

A point object is placed on the principal axis of a convex lens (f = 15 cm) at a distance of 30 cm from it. A glass plate `(mu= 1.50)` of thickness 1 cm is placed on the other side of the lens perpendicular to the axis. Locate the image of the point object.

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The correct Answer is:
C

For the lens, f=15cm, u=-30cm
From lens formula
`1/v-1/u=1/f`
`rarr 1/v=1/f+1/u`
`=1/15-1/30=1/30`
`rarr v=30cm`
`rarr /_\F=(1-1/1.5)1`
`[sinceu_2=1.5 and t=1cm]`
=1-2/3=1/3=0.38cm`
The image will be formed at 30+0.33=30.33 cm from the lens on right side.
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