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The image of an object placed at 60 cm in front of a lens is obtained on a screen at a distance of 120 cm from it. Find the focal length of the lens. What would be the height of the image if the object is 5 cm high?

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The image of an object placed at 60 cm in front of a lens is obtained on a screen at a distance of 120 cm from it. Find the focal length of the lens. What would be the height of the image if the object is 5 cm high?

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u = -60 cm, v = +120 cm

Using, 1/f = 1/v - 1/u, we get

1/f = 1/120 - 1/-60 = 1 + 2/120

⇒ f = 40 cm

m = v/u = h1/ho

∴ h1 = ho x v/u

= 5 x 120/60 = 10 cm

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