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

Question

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 (A) d (B) d/2 (C) d/3 (D) d/4

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2f39e2528519dfabd5d5c328b3cb0fe1-.png" /> From two similar triangles (h/d / 2)=(f/2 f) (2 h/d)=(1/2) or h=(d/4)

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

d

d/2

d/3

d/4

From two similar triangles d/2h​=2ff​ d2h​=21​ or h=4d​

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