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  4. A point object is placed on the optic axis of a convex lens of focal length f at a distance of 2 f to the left of it. the diameter of the lens is ' d. An eye is placed at a distance of 3 f to the right of the lens and a distance h below the optic axis. The maximum value of h to see the image is

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Q. A point object is placed on the optic axis of a convex lens of focal length $f$ at a distance of $2 f$ to the left of it. the diameter of the lens is ' $d$. An eye is placed at a distance of $3 \,f$ to the right of the lens and a distance $h$ below the optic axis. The maximum value of $h$ to see the image is

Ray Optics and Optical Instruments

Solution:

image
From two similar triangles
$\frac{h}{d / 2}=\frac{f}{2 f}$
$\frac{2 h}{d}=\frac{1}{2}$
or $h=\frac{d}{4}$