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(B) For a convex mirror,the image formed is always virtual,erect,and diminished.Consider the line $PQ$. Point $Q$ is farther from the mirror than poin

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$B$

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(B) For a convex mirror,the image formed is always virtual,erect,and diminished.Consider the line $PQ$. Point $Q$ is farther from the mirror than point $P$. For a convex mirror,the magnification $m = -v/u$ is positive and less than $1$. Since $Q$ is farther from the mirror $(u_Q > u_P)$,the image of $Q$ $(Q')$ will be closer to the mirror than the image of $P$ $(P')$,and the distance between $P'$ and $Q'$ will be smaller than the distance between $P$ and $Q$.Furthermore,because the mirror is convex,the rays from points farther from the pole appear to originate from points closer to the focus. Thus,the image $P'Q'$ will appear tilted such that the end closer to the mirror $(P')$ is further from the principal axis than the end farther from the mirror $(Q')$.Applying this logic to both lines $PQ$ and $RS$,we find that the correct schematic representation is given by option $B$.

$A$ person looks at the image of two parallel finite length lines $PQ$ and $RS$ in a convex mirror (see figure). Which of the following represents schematically the image correctly? Note: Letters $P, Q, R$ and $S$ are used only to denote the endpoints of the lines.

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