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Question

(A) Let the two mirrors be $M_1$ and $M_2$ separated by distance $L$. The object $O$ is at distance $x = L/3$ from $M_1$ and $y = 2L/3$ from $M_2$.Ima

Vedclass · Accepted Answer

$3L/2$

Vedclass · Answer

(A) Let the two mirrors be $M_1$ and $M_2$ separated by distance $L$. The object $O$ is at distance $x = L/3$ from $M_1$ and $y = 2L/3$ from $M_2$.Images formed by $M_1$ are at distances $x, 2L+x, 4L+x, \dots$ behind $M_1$,i.e.,$L/3, 7L/3, 13L/3, \dots$Images formed by $M_2$ are at distances $y, 2L+y, 4L+y, \dots$ behind $M_2$,i.e.,$2L/3, 8L/3, 14L/3, \dots$The positions of images from the left mirror $M_1$ are $x_1 = L/3, x_2 = 7L/3, x_3 = 13L/3, \dots$The positions of images from the right mirror $M_2$ are $y_1 = 2L/3, y_2 = 8L/3, y_3 = 14L/3, \dots$The distances between consecutive images are $2L/3, 4L/3, 2L/3, 4L/3, \dots$Since the possible distances between adjacent images are $2L/3$ and $4L/3$,the distance $3L/2$ is not possible.

Two plane mirrors are placed parallel to each other at a distance $L$ apart. $A$ point object $O$ is placed between them,at a distance $L/3$ from one mirror. Both mirrors form multiple images. The distance between any two images cannot be:

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