A convex lens forms a real image of an object | vedclass

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(C) For a convex lens,when an object is placed at two different positions to form a real image on a screen,the displacement method is used.Let the hei

Vedclass · Accepted Answer

$4$

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(C) For a convex lens,when an object is placed at two different positions to form a real image on a screen,the displacement method is used.Let the height of the object be $O$,and the heights of the images formed in the two positions be $I_1$ and $I_2$.The relationship between the height of the object and the heights of the images is given by the formula: $O = \sqrt{I_1 	imes I_2}$.Given: $I_1 = 8 \ cm$ and $I_2 = 2 \ cm$.Substituting the values: $O = \sqrt{8 	imes 2} = \sqrt{16} = 4 \ cm$.Therefore,the height of the object is $4 \ cm$.

$A$ convex lens forms a real image of an object for its two different positions on a screen. If the height of the image in both cases is $8 \ cm$ and $2 \ cm$,then the height of the object is ........ $cm$.

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$A$ convex lens:

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