1.

In the figure shown consider the first reflection at the plane mirror and second at the convex mirror .AB is object.

Answer»

The second image is REAL ,inverted of `1//5^(th)`magnification
the second image is virtual and erect with magnification `1//5`
the second image moves towards the concave MIRROR.
the second image moves away from the convex mirror.

Solution :
for image by convex mirror
Distance of image of `A'`is `v_(A)`
`(1)/(v)+(1)/(u)=(1)/(f)`
`(1)/(v_(A))+(1)/(-60)=(1)/(60) rArr v_(A)=-30cm`
Distance of image of `B'` is `v_(B)`
`(1)/(v_(B)) +(1)/(-90)=(1)/(60)`
`(1)/(v_(B)) =(1)/(60)+(1)/(90) rArr (1)/(v_(B))=(5)/(180)`
`v_(B)=36cm`
`m=("length of image")/("length of object")=(6)/(30)=(1)/(5)`
Distance of image increases with convex mirror.


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