Question

Two plane mirrors are placed making an angle of 60° in between them. For an object placed in between the mirrors, the number of images formed will be

Answer 1

Answer:

5

Explanation:

Number of images =360/60-1=5

Answer 2

GiveN :-

$\implies\textsf{ Two plain mirrors are inclined at an angle of \sf 60^{\circ} }.\\\implies\textsf{ Object is placed between the mirrors .}$

To FinD :-

$\implies\textsf{ The number of images formed .}$

SolutioN :-

The number of images formed by two mirrors when object is placed between them inclined at an angle $\theta$ is $\sf \dfrac{ 360}{\theta}-1$ if $\sf\dfrac{360}{\theta}$ is even . Hence here ,

$\sf:\implies\pink{ n_{image} = \dfrac{ 360}{\theta}-1} \\\\\sf:\implies n_{image} = \dfrac{360}{60}-1 \\\\\sf:\implies n_{image}= 6 - 1 \\\\\sf:\implies\boxed{\pink{\mathfrak{ number_{images} = 5 }}}$

$\underline{\blue{\sf \therefore Hence \ the \ number\ of \ images \ is \ \textsf{\textbf{5 }}. }}$

$\rule{200}2$