Two plane mirrors M _ 1 and M _ 2 are at right angle to each othe… - Vidyadip

MCQ

Two plane mirrors ${M}_{1}$ and ${M}_{2}$ are at right angle to each other shown. A point source $'P'$ is placed at $'a'$ and $'2a'$ meter away from ${M}_{1}$ and ${M}_{2}$ respectively. The longest distance between the images thus formed is : (Take $\sqrt{5}=2.3$ )

A
$3 {a}$
✓
$4.6 {a}$
C
$2.3 {a}$
D
$2 \sqrt{10} {a}$

✓

Answer

Correct option: B.

$4.6 {a}$

b
Shortest distance is $2 {a}$ between ${I}_{1} \& {I}_{3}$

But answer given is for ${I}_{1} \& {I}_{2}$

$\sqrt{(4 a)^{2}+(2 a)^{2}}$

$a \sqrt{20}$

$4.47 {a}$

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