A photograph of a house occupies an area of 1.75cm2 on a 35mm slide. The slide is projected onto a screen, the area of the house on the screen is 1.55m2. Find the linear magnification of the projector screen arrangement
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Solution
Given that
Area of the house on the slide = 1.75 cm2
Area of the image of the house formed on the screen = 1.55 m2
1 m = 100 cm = 102 cm
Area of the image of the house formed on the screen = 1.55 m2 = 1.55 × (102 cm)2 = 1.55 × 104cm 2
Arial magnification
= area of image / area of slide = 1.55 × 104cm 2/1.75 cm2 = 0.8857 × 104
Linear magnifications = √(Arial magnification ) =√(0.8857 × 104)