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(D) When an object is placed between two parallel plane mirrors,multiple images are formed due to successive reflections.Let the mirrors be $M_1$ and

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$4$

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(D) When an object is placed between two parallel plane mirrors,multiple images are formed due to successive reflections.Let the mirrors be $M_1$ and $M_2$. An image formed by a single reflection in a plane mirror is laterally inverted.If an image is formed by an even number of reflections,it is not laterally inverted (it is erect relative to the original object).If an image is formed by an odd number of reflections,it is laterally inverted.Let the object be at a distance $d_1$ from $M_1$ and $d_2$ from $M_2$. The images formed by $M_1$ are at distances $d_1, 2d_2+d_1, 2d_1+2d_2+d_1, \dots$ and those by $M_2$ are at $d_2, 2d_1+d_2, 2d_2+2d_1+d_2, \dots$.Counting the first seven images in order of distance:$1$. $I_1$ (from $M_1$): $1$ reflection (odd) $\rightarrow$ Laterally inverted.$2$. $I_2$ (from $M_2$): $1$ reflection (odd) $\rightarrow$ Laterally inverted.$3$. $I_3$ (from $M_2$ via $M_1$): $2$ reflections (even) $\rightarrow$ Not laterally inverted.$4$. $I_4$ (from $M_1$ via $M_2$): $2$ reflections (even) $\rightarrow$ Not laterally inverted.$5$. $I_5$ (from $M_1$ via $M_2$ via $M_1$): $3$ reflections (odd) $\rightarrow$ Laterally inverted.$6$. $I_6$ (from $M_2$ via $M_1$ via $M_2$): $3$ reflections (odd) $\rightarrow$ Laterally inverted.$7$. $I_7$ (from $M_2$ via $M_1$ via $M_2$ via $M_1$): $4$ reflections (even) $\rightarrow$ Not laterally inverted.Thus,in the first seven images,the images $I_1, I_2, I_5, I_6$ are laterally inverted. Total count is $4$.

An object shaped as $L$ is placed between two parallel plane mirrors as shown. In the first seven closest images,how many laterally inverted images are formed?

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