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The photograph of a house occupies an ar...

The photograph of a house occupies an area of `1.75 cm^(2)` on a 35 mm side. The slide is projected on to a screen, and the area of the house on the screen is `1.55 m^(2)`. What is the linear magnification of the projector-screen arrangement.

Text Solution

Verified by Experts

Here, area of object = `1.75 cm^(2)` and area of image = 1.55 `m^(2)=1.55 times 10^(4)cm^(2)`
`therefore" Areal magnification"="area of image"/"area of object"`
`" "=(1.55 times 10^(4))/(1.75)=8857`
Linear magnification `=sqrt(8857)=94.1`
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