Ray Optics and Optical Instruments - Result Question 47

49. A lens is placed between a source of light and a wall. It forms images of area $A_1$ and $A_2$ on the wall for its two different positions. The area of the source of light is

[1995]

(a) $\sqrt{A_1 A_2}$

(b) $\frac{A_1+A_2}{2}$

(c) $\frac{A_1-A_2}{2}$

(d) $\frac{1}{A_1}+\frac{1}{A_2}$

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Answer:

Correct Answer: 49. (a)

Solution:

  1. (a) Size of images $=A_1$ and $A_2$. From the displacement method, the area of the source of light $=\sqrt{A_1 A_2}$.