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

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Solution

Q.
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. [2024]

Ans.
(20)

Here, $u = 20 cm$

From the focal point, $v = 20 cm$

$x y = f^{2} \to$ Newton's formula

$20 \times 20 = f^{2}$

$f = 20$

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