Consider an optical bench with a 1.5 m long scale that has been divided into four equal divisionsfor each centimeter, and a convex lens with an unknown focal length. The lens is placed at the75 cm mark on the scale, while the object pin is placed at the 45 cm mark. The image of theobject pin is formed on the other side of the lens, and it overlaps with the image pin that is keptat the 135 cm mark. Suppose that the width of each division on the scale is measured to be 0.15mm, and the error in measuring the position of the pins is 0.5 mm.Given these conditions, what is the maximum percentage error in the measurement of the focallength of the lens?

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