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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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Verified Answer
The correct answer is:
$\frac{d}{4}$
From two similar triangles,
$$
\begin{aligned}
& \frac{h}{d}=\frac{f}{2 f} \\
& h=\frac{d}{4}
\end{aligned}
$$
$$
\begin{aligned}
& \frac{h}{d}=\frac{f}{2 f} \\
& h=\frac{d}{4}
\end{aligned}
$$
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