An object is mounted on a wall. Its image of equal size is to be obtained on a parallel wall with the help of a convex lens placed between these walls. The lens is kept at distance in front of the second wall. The required focal length of the lens will b

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Solution

Q.
An object is mounted on a wall. Its image of equal size is to be obtained on a parallel wall with the help of a convex lens placed between these walls. The lens is kept at distance $x$ in front of the second wall. The required focal length of the lens will be [2023]

1 less than $\frac{x}{4}$

2 more than $\frac{x}{4}$ but less than $\frac{x}{2}$

3 $\frac{x}{2}$

4 $\frac{x}{4}$

Ans.
(3)

The same size image is formed when object is positioned at centre of curvature. Using geometric configuration, $x = 2 f$ or $f = x / 2$

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