In an experiment to measure the focal length | vedclass

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Question

(D) According to Newton's form of the lens equation,when distances $x$ and $y$ are measured from the focal points,the relation is given by $xy = f^2$.

Vedclass · Accepted Answer

$20$

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(D) According to Newton's form of the lens equation,when distances $x$ and $y$ are measured from the focal points,the relation is given by $xy = f^2$.From the provided graph,we can observe a point on the curve where $x = 20 \ cm$ and $y = 20 \ cm$.Substituting these values into the equation:$20 	imes 20 = f^2$$f^2 = 400$$f = 20 \ cm$.Alternatively,the graph shows that at $x = 10 \ cm$,$y = 40 \ cm$ (from the intercept on the y-axis),and at $x = 40 \ cm$,$y = 10 \ cm$ (from the intercept on the x-axis).Using $xy = f^2$,we get $10 	imes 40 = f^2$,which implies $f^2 = 400$,so $f = 20 \ cm$.

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 the figure. The focal length of the lens is . . . . . . $cm$.

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