The concept used to solve this problem is the basic geometric properties of triangle and Laws of reflection.
Use the basic geometric properties of triangle and Laws of reflection to obtain the required angle made by the light ray.
The laws of Reflection.
1. The normal ray and the reflected ray should be in the same plane.
2. The ray of light only reflected through mirror surface and water surface.
3. When a light ray strike on a mirror surface, then the incident angle of the light and reflected angle of the light is equal.
The basic geometric properties of triangle are as follows:
• The sum of the angles in a triangle is .
• The sum of the length of any two sides of a triangle is greater than the length of the third side.
The reflected ray diagram is as follows:
Figure (1)
From figure (1), the angle between the strike’s ray to the normal line on first mirror and the angle between the reflected ray to the normal line are equal. Hence, . The angle on second mirror when the reflected ray again strikes on the second mirror, the angle between the reflected ray which is coming to reflect on the second mirror to the normal on second mirror is and the angle between reflected ray on second mirror to the normal line is . The angle between the reflected ray on first mirror to the second mirror is .
Angle from the simple geometry property is as follows:
Angle from the properties of triangle is as follows:
The angle of reflected ray to the normal line and the angle between the strike ray to the normal on the second mirror is equal as shown below:
Angle is as follows:
Ans:
The reflected angle is same as the incident angle.
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