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An object of height 5 cm is placed 2 m i...

An object of height 5 cm is placed 2 m in front of concave mirror of radius of curvature 40 cm. Find the size of the image

Text Solution

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Size of object `=h_(1) = +5 cm`
`u=-2m =-200 cm`
`R =-40 cm`
`f = R/2 =-40/2 =-20 cm`
v=?
Size of image = `h_(2)` = ?
Using lens formula, `1/u + 1/v = 1/f`
`1/(-200) + 1/v =1/(-20)`
`1/v=(-10 +1)/200 = -9/200`
`v=-200/9`
`m=-v/u = h_(2)/h_(1)`
`h_(2) = -v/u(h_(1)) =-(200//9)/(-200) (5)`
`=-5/9 =-0.55 cm`
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