Two inclined mirrors problem

In summary, the Two Inclined Mirrors Problem is a physics problem that involves two parallel mirrors, one of which is tilted at an angle. The key concepts involved in solving this problem are the laws of reflection, the angle of incidence and the angle of reflection. The approach to solving this problem involves drawing a diagram, applying the laws of reflection, and using trigonometry to calculate angles. Common mistakes include not considering the angle of incidence and not applying the laws of reflection correctly. This problem is applicable in various fields, such as optics, astronomy, and engineering, and can aid in understanding the behavior of light in reflective surfaces.
  • #1
Amith2006
427
2
Inclined mirror problem

Sir,
Please see if it is right.
1)A ray of light makes an angle of 10 degrees with the horizontal and strikes a plane mirror which is inclined at an angle y to the horizontal. What is the angle y for which the reflected ray becomes vertical?
I solved it in the following way:
Given that angle(CBF) = 90, angle(CBD) = 10, angle(DBE) = angle(EBF) = m
i.e. 2m + 10 = 90
m = 40
Now, y + 10 + 40 = 90
y = 40

Is it right?
 

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  • #2
Yes I think this is correct...you can check that the angles are consistent with orthonormality once you have the values, yourself.
 
  • #3


I cannot confirm the accuracy of your solution without further information about the problem. However, your approach seems reasonable and your solution appears to be correct based on the given information. It is always important to double-check your calculations and consider any potential sources of error in your solution. Additionally, it would be helpful to provide a diagram or more context for the problem to ensure a complete understanding.
 

1. What is the Two Inclined Mirrors Problem?

The Two Inclined Mirrors Problem is a physics problem that involves two parallel mirrors, one of which is tilted at an angle. The problem asks for the number of times a light ray will bounce between the mirrors before exiting.

2. What are the key concepts involved in solving the Two Inclined Mirrors Problem?

The key concepts involved in solving this problem are the laws of reflection, the angle of incidence and the angle of reflection. These concepts help determine the path of the light ray as it bounces between the two mirrors.

3. How do you approach solving the Two Inclined Mirrors Problem?

The first step in solving this problem is to draw a diagram of the two mirrors and the incident light ray. Then, apply the laws of reflection to determine the path of the ray as it bounces between the mirrors. Finally, use trigonometry to calculate the angles and determine the number of bounces.

4. What are some common mistakes when solving the Two Inclined Mirrors Problem?

One common mistake is not considering the angle of incidence at each bounce. Another mistake is not applying the laws of reflection correctly, leading to an incorrect path of the light ray. It is also important to use the correct angles in trigonometric calculations.

5. How is the Two Inclined Mirrors Problem applicable in real life?

This problem is applicable in many fields, such as optics, astronomy, and engineering. It can help in understanding the behavior of light in reflective surfaces, which is crucial in designing and optimizing mirrors and other optical devices.

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