Ray Optics Question 9

Question 9 - 2024 (30 Jan Shift 2)

In an experiment to measure the focal length (f) of a convex lens, the magnitude of object distance (x) and the image distance (y) are measured with reference to the focal point of the lens. The $y-x$ plot is shown in figure.

The focal length of the lens is $cm$.

Show Answer

Answer: (20)

Solution:

$\frac{1}{f+20}-\frac{1}{-(f+20)}=\frac{1}{f}$

$\frac{2}{f+20}=\frac{1}{f} \quad f=20 cm$

Or $x _1 x _2=f^{2}$ gives $f=20 cm$