When an object of height 12 cm is placed at | vedclass

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(C) For a convex lens, the displacement method states that for a fixed distance between the object and the screen, there are two positions of the lens

Vedclass · Accepted Answer

$8$

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(C) For a convex lens, the displacement method states that for a fixed distance between the object and the screen, there are two positions of the lens where a sharp image is formed on the screen.Let $h_0$ be the height of the object, $h_1$ be the height of the first image, and $h_2$ be the height of the second image.The relationship between these heights is given by the formula $h_0 = \sqrt{h_1 	imes h_2}$.Given: $h_0 = 12 \ cm$ and $h_1 = 18 \ cm$.Substituting the values into the formula:$12 = \sqrt{18 	imes h_2}$Squaring both sides:$144 = 18 	imes h_2$$h_2 = \frac{144}{18} = 8 \ cm$.Therefore, the height of the second image is $8 \ cm$.

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