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A point object O is placed on the principal axis of a convex lens of focal length 20cm at a distance of 40cm to the left of it. The diameter of the lens is 10cm. if the eye is placed 60cm to the right of the lens at a distance h below the principal axis, then the maximum value of h to see the image will be

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2.5cm

10cm

5cm

answer is C.

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Detailed Solution

$\frac{1}{f} = \frac{1}{v} - \frac{1}{u} \frac{1}{20} = \frac{1}{v} - \frac{1}{- 40} v = 40 c m$

$\frac{h}{20} = \frac{5}{40} = \frac{1}{8}$

Or $h = \frac{20}{8} c m = \frac{5}{2} c m = 2.5 c m$

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