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At what distance should an object be placed from a convex lens of focal length 18 cm to obtain an image at 24 cm from it on the other side. What will be the magnification produced in this case?

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At what distance should an object be placed from a convex lens of focal length 18 cm to obtain an image at 24 cm from it on the other side. What will be the magnification produced in this case?

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f = +18 cm, v = 24 cm

Using, 1/f = 1/v - 1/u,

we get, 1/u = 1/v - 1/f

= 1/24 - 1/18 = 3 - 4/72

⇒ u = -72 cm

Object should be kept at a distance of 72 cm on the left side of the convex lens.

Magnification, m = v/u = 24/-72 = -1/3

Image is inverted, real and diminished.

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