Question

An object is placed between two plan mirror indined at an angle titha with each other what is the total number of images formed​

Answer 1

Required Answer:

Total number of images formed will be:

• $\boxed { \sf \pink { No. \: of \: images \: formed = \dfrac{360°}{\theta} -1 }}$

Let's understand briefly!

$\boxed { \large \bf \red { Concept : }}$

Here, the concept of multiple reflections has been used. To calculate the number of images of an object placed between two mirrors can be found from the formula:

$\boxed { \sf \pink { No. \: of \: images \: formed = \dfrac{360°}{\theta} -1 }}$

Where,

• $\theta$ is the angle between the mirrors.

Note:

• The number of images formed by the two plane mirrors increases when the angle between the two mirrors decreases.

• When the angle between two mirrors are parallel to each other, infinite images are formed.

Example!

An object is placed between two plane mirrors inclined at an 120° with each other.What is the total number of images formed?

→ In this question we are given that the two plane mirrors are inclined at 120° to each other i.e the angle between the mirrors. So let's solve this by the formula given above:

We know that,

$\boxed { \sf \pink { No. \: of \: images \: formed = \dfrac{360°}{\theta} -1 }}$

Where,

• Number of images formed = ?
• $\theta$ (angle between the mirrors)= 120°

Substituting values:

$\rm { No. \: of \: images = \dfrac{360°}{\theta} -1 }$

$\rm { No. \: of \: images = \dfrac{360°}{120°} -1 }$⠀⠀⠀⠀⠀

$\rm { No. \: of \: images = 3-1 }$⠀⠀⠀⠀⠀

$\rm { No. \: of \: images = 2 }$

⠀⠀⠀⠀⠀

Thus, 2 images of an object are formed when two plane mirrors are inclined at an angle of 120˚ to each other.

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Answer 2

Answer:

PLZ MARK THE ABOVE ONE AS BRAINLIEST ^_^