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An object is located in a fixed position in front of a screen .Sharp image is obtained on the screen for two positions of a thin lens are separated by 10 cm .The size of the images in two situations are in the ratio 3 : 2 . What is the distance between the screen and the object ?

$(a)\;124.5\;cm \qquad(b)\;144.5\;cm\qquad(c)\;65.0\;cm\qquad(d)\;99.0\;cm$

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