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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.

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answer is 20.

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Detailed Solution

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

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

$Or x_{1} x_{2} = f^{2} gives f = 20 cm$

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