Question

Take two mirrors in such a way so that their vertical edges touch each other. Place them
at different angles like 0°, 30°,45°,60°,90° etc. and observe number of images formed
in each case

Answer 1

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

$\\ \underline{ \underline{ \small \boxed { \bf \: number \: of \: images \: formed = \frac{360}{ \theta} - 1 }}}$

CASE 1 :-

∅ = 0

$\\ \sf \: number \: of \: images \: = \frac{360}{0} - 1 \\ \\ \sf \: number \: of \: images = \infty - 1 \\ \\ \boxed{\bf \pink{ \: number \: of \: images = \infty }}$

CASE 2 :-

∅= 30°

$\\ \sf \:number \: of \: images = \frac{360}{30} - 1 \\ \\ \sf \: number \: of \: images = 12 - 1 \\ \\ \boxed{ \bf \: \pink{ number \: of \: images = 11}}$

CASE 3 :-

∅= 45°

Number of images = 360/45 -1

Number of images = 8-1

Numbet of images = 7

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CASE 4 :-

∅= 60

Number of images = 360/60 - 1

Number of images = 6 - 1

Number of images = 5

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CASE 5 :-

∅= 90

Number of images = 360/90 - 1

Numberof images = 4 - 1

Number of images = 3