A convex lens forms an image of an object on a screen. The height of the image is \( 9 \mathrm{~...

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A convex lens forms an image of an object on a screen. The height of the image is \( 9 \mathrm{~cm} \). The lens is now displaced until an image is again obtained on the screen. The height of this image is \( 4 \mathrm{~cm} \). The distance between the object and the
P screen is \( 90 \mathrm{~cm} \).
(1) The distance between the two positions of the lens is \( 30 \mathrm{~cm} \).
(2) The distance of the object from the lens in its first position is \( 36 \mathrm{~cm} \).
(3) The height of the object is \( 6 \mathrm{~cm} \).
(4) The focal length of the lens is \( 21.6 \mathrm{~cm} \).
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