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An object of 5cm height is placed at a d...

An object of 5cm height is placed at a distance of 15cm from a concave mirror of radius of curvature 20 cm. Find the size of the image.

Text Solution

Verified by Experts

Given that `h_(1)=5cm`
`u=-15cm`
`R=20cm`
`f=(-R)/(2)=(-20)/(2)=-10cm`
`(1)/(f)=(1)/(v)+(1)/(u)`
`(1)/(v)=(1)/(f)-(1)/(u)`
`(1)/(v)=-(1)/(10)+(1)/(15)`
`(1)/(v)=(-(15-10))/(10xx15)`
`v=-30cm`
`"Magnification (m)"=(-v)/(u)=(h_(2))/(h_(1))`
`(30)/(15)=(h_(2))/(5)`
`h_(2)=10cm.`
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