Question

If two plane mirrors
are placed at an
angle of 90° to each
other, then number
of images formed of
the object placed
between them is​

Answer 1

Answer:

There are all total 3 images formed.

Formulas

When two mirror are inclined making an angle $\theta$ ,then

N = $\dfrac{360\degree}{\theta}$

• If N is even,total no. of images formed is N - 1.

• If N is odd, total no. of images formed is

1. N ,when object is not present at angle bisector.
2. N - 1 ,when object is present at angle bisector.

Calculations

Let us find N first.Here, $\theta$ = 90°

using, N = $\dfrac{360\degree}{\theta}$

N = $\dfrac{360\degree}{90}$

N = 4 ( even ).

Thus,number of images = N - 1

= 4 - 1

= 3

Thus,number of images would be 3.

Answer 2

Explanation:

There are all total 3 images formed.

Formulas

When two mirror are inclined making an angle \thetaθ ,then

N = \dfrac{360\degree}{\theta}

θ

360°

If N is even,total no. of images formed is N - 1.

If N is odd, total no. of images formed is

N ,when object is not present at angle bisector.

N - 1 ,when object is present at angle bisector.

Calculations

Let us find N first.Here, \thetaθ = 90°

using, N = \dfrac{360\degree}{\theta}

θ

360°

N = \dfrac{360\degree}{90}

90

360°

N = 4 ( even ).

Thus,number of images = N - 1

= 4 - 1

= 3

Thus,number of images would be 3.

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