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Q.

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

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a

When AB is moved towards the plane mirror, the final image moves towards the convex mirror

b

When AB is moved towards the plane mirror, the final image moves away from the convex mirror

c

the second image is virtual and erect with magnification 1/5 

d

the second image is real , inverted of 1/5th magnification 

answer is B, C.

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Detailed Solution

Ist image (A1 B1) is formed due to plane mirror to the left of it with magnification 1. It is virtual. This A1B1 acts as real object to the
concave mirror of focal length 
f=R2=1202=60cm
 

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A2B2 is the image of A1B1 formed by convex mirror. 
AB=A1B1=30cm  For A1:u=60cm,f=+60cm,V? 1V+1u=1f1V160 =160V=+30cmPA2
 For B1:1V+1u=1f1V190=160 V=+36cmPB2  length of A2B2=3630=6cm A2B2AB=630A2B2=AB5
In the figure, it can be observed that both A-B 
and A2–B2 are left to right i.e., A2B2 is erected w.r.t AB. A2B2 is virtual 
Velocity of image formed by a mirror is always opposite to the object. 

If AB moves leftA1B1 moves right wards A2B2 moves leftwards i.e., towards the mirror.

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