A 5 cm tall object is placed perpendicular to the principal axis of aconvex lens of focal length 20 cm. The distance of the object fromthe lens is 30 cm. Find the position, nature and size of the imageformed.(
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Explanation:
Object size, h = +5 cm
focal length, f = +20 (f is positive for a convex lens)
object distance, u= -30
image distance, v=?
image size =?
using the formula,
1/v-1/v=1/f
1/v=1/u+1/f
=1/-30+1/20
=-2+3/60
=1/60
image distance, v= +60 cm
magnification, m=v/u
60×5/-30
=-10 cm
the positive sign of v shows that the image is formed at a distance of 60 cm to the right of optical center of the lens.
the image is real and inverted.
the image is two times enlarged than the size of the object.
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