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

Options

A. the second image is real and inverted with magnification 1/5
B. the second image is virtual and erect with magnification 1/5
C. the second image moves towards the convex mirror
D. the second image moves away from the convex mirror

Answer

B,C

Explanation

`u_(1) = -60` & `u_(2) = -90`
`-(1)/(60) + (1)/(v_(1)) = (1)/(60) implies v_(1) = 30`
`-(1)/(90) + (1)/(v_(2)) = (1)/(60) implies v_(2) = 36`
`v_(2)-v_(1) = 36 -30 = 6 "cm"`
`m = (v_(2)-v_(1))/(v_(2)-v_(1)) = (6)/(30) = (1)/(5)`
for mirror `v_(I) = -m^(2)v_(0)`
convex mirror makes virtual image.