MCQ
In the figure shown consider the first reflection at the plane mirror and second at the convex mirror. $AB$ is object.
  • A
    the second image is real , inverted of $1/5^{th}$ magnification
  • B
    the second image is virtual and erect with magnification $1/5$
  • C
    the second image moves towards the convex mirror
  • Both $(B)$ and $(C)$

Answer

Correct option: D.
Both $(B)$ and $(C)$
d
for image by convex mirror

Distance of image of $A$ 'is $v_{A}$

$\frac{1}{v}+\frac{1}{u}=\frac{1}{f}$

$\frac{1}{v_{A}}+\frac{1}{-60}=\frac{1}{60} \Rightarrow v_{A}=-30 \mathrm{cm}$

Distance of image of $B^{\prime}$ is $v_{B}$

$\frac{1}{v_{B}}+\frac{1}{-90}=\frac{1}{60}$

$\frac{1}{v_{B}}=\frac{1}{60}+\frac{1}{90} \Rightarrow \frac{1}{v_{B}}=\frac{5}{180}$

$v_{B}=36 \mathrm{cm}$

$m=\frac{\text { length of image }}{\text { length of object }}=\frac{6}{30}=\frac{1}{5}$

Distance of image increases with convex mirror.

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