1.

An object is placed in from of a convex mirror of focal length 50 cm, if the image is one fourth the size of the object, the distance of the image from the mirror isA. 25 cmB. 37.5 cmC. 50 cmD. 75 cm

Answer» Correct Answer - B
`u=-x,m=(1)/(4)`
`m=-(v)/(u)implies(1)/(4)=-(v)/(-u)`
`v=(x)/(4)`
`(1)/(v)+(1)/(u)=(1)/(f)implies(1)/((x)/(4))+(1)/(-x)=(1)/(50)`
`(3)/(x)=(1)/(50)`
`x=150cm,v=(x)/(4)=(150)/(4)=37.5cm`


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