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Two plane mirrors are inclined to …

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Two plane mirrors are inclined to each other at a certain angle. A ray of light incident To one of the mirror at a inclination 10 degree retraced back after five reflection. What is the angle between the two mirrors.
  • 1 answers

Gaurav Seth 5 years, 1 month ago

Given that,

Two plane mirrors are inclined to each other at a certain angle.

Incident angle = 10°

Let the angle between the mirror is θ.

On second mirror ray of light retraces its path

After five reflection it will be same.

So, ray of light falls normally on the second mirror

The normal angle is

We know that,

From snell's law,

Incident angle is equal to the reflection angle.

We need to calculate the angle b

Using formula for b

Put the value into the formula

We need to calculate the angle between the mirror

Using formula of angle

Put the value into the formula

Hence, The angle between the mirror is 10°.

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