Question

# A slide projector gives a magnification of $10$. If a slide of dimensions $\left(3cmx2cm\right)$ is projected on the screen, the area of the image on the screen is:

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Solution

## Step 1: Given dataThe magnification of the slide projector is $M=10.$the dimension of the slide is $\left(3cmx2cm\right)=6c{m}^{2}.$Step 2: MagnificationThe magnification of a slide is defined as the ratio of the image area and object area.$Magnification=\frac{Imagearea}{Objectarea}$Step 3: Finding the area of the imageAs we know, $Magnification=\frac{Imagearea}{Objectarea}$. So, $Magnification=\frac{Imagearea}{Objectarea}\phantom{\rule{0ex}{0ex}}orImagearea=\left(Magnification×Objectarea\right)=\left(10×6c{m}^{2}\right)\phantom{\rule{0ex}{0ex}}orImagearea=60c{m}^{2}$Therefore, the area of the image on the screen is $60c{m}^{2}$.

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