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Answer 1 · 2017-01-30T16:19:29

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We know the mirror formula as below

#color(blue)(1/v+1/u=2/r)#

where

#u->"object distance"=-20cm#

#v->"image distance"#

#r->"radius of curvature"#

Here it is also given that size of the virtual image seen behind the mirror is twice that of object.This means the magnification #m=-2#

Again #m=v/u=>-2=v/u#

So #v=-2u=-2xx(-20)cm=40cm#

Inserting these values in mirror equation we get

#color(green)(1/v+1/u=2/r)#

#=>1/40+1/-20=2/r#

#=>(1-2)/40=2/r#

#=>r=-80cm#