Question

if an object is placed symmetrically between two plane mirrors inclined at angle of 72 degree then the total number of images formed is

Answer 1

Concept:

The images formed by two plane mirrors placed symmetrically is given by the formula:

Let theta be the angle of inclination between the two mirrors

n be the number of images formed then

360/theta =n if n is odd

360/theta= n-1 if n is even

Given:

the angle of inclination between the two plane mirrors is 72 degrees

Find:

We are required to find the number of images formed between the two inclined mirrors

Solution:

By using the given data and using the formula to determine the number of images,

n= 360/72

n=5 which is an odd number

Hence number of images formed is 5

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Answer 2

Answer:

number of images formed is $5$

step-by-step explanation:

Plane mirrors are frequently employed in flashlights and torches to reflected the beams of light, and they are even utilized in overhead transparencies for the same purpose. The torchlights' plane mirrors can be put to use for identifying and looking for items at night and in dimly lit areas thanks to these applications and uses.

The following formula describes the pictures produced by two symmetrically positioned plane mirrors:

$\theta$ should represent the inclination angle among the two mirrors.

if $n$ is the number of photos created,

$\frac{360}{\theta} =n$

$if'n'is.odd$

$\frac{360}{\theta} =n-1$

$if 'n'is.even$

$72$° is the tilt between the two plane mirrors.

We must ascertain how many images were created between the two inclined mirrors.

Using the provided information and the formula to calculate the number of photos,

$n=\frac{360}{72}$

$n=5$

which is an odd number

Consequently, there were $5$ images created.

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