two vertical mirrors areinclined at 60degreeangle arayoflighttravellinghorizantalyisreflectedfirst frm one and then frm another resultant deviation ans 120 hw

When light encounters two mirrors that are inclined at an angle, the behavior of the light can be quite fascinating. Let’s break down the scenario where two vertical mirrors are set at a 60-degree angle, and a ray of light travels horizontally, reflecting off each mirror in turn. The goal is to determine the resultant deviation of the light ray after these reflections.

Understanding the Reflection Process

When a ray of light strikes a mirror, it reflects off at an angle equal to the angle of incidence, according to the law of reflection. In this case, we have two mirrors inclined at 60 degrees to each other. Here’s how we can analyze the situation step by step:

Step 1: Initial Ray of Light

Imagine a horizontal ray of light approaching the first mirror. Since the ray is horizontal, it makes a 0-degree angle with the normal (the line perpendicular to the mirror's surface) at the point of incidence.

Step 2: First Reflection

Upon hitting the first mirror, the ray reflects off at an angle equal to the angle of incidence. Since the angle of incidence is 0 degrees, the angle of reflection is also 0 degrees. However, we need to consider the orientation of the mirrors. The first mirror is vertical, so the ray will reflect off and travel upwards at a 60-degree angle relative to the horizontal line (since the mirror is inclined).

Step 3: Second Reflection

Now, the ray travels towards the second mirror. The angle between the incoming ray and the normal to the second mirror is now 60 degrees (because the mirrors are inclined at 60 degrees). The angle of incidence at the second mirror is thus 60 degrees, leading to a reflection at the same angle of 60 degrees.

Step 4: Resultant Direction

After reflecting off the second mirror, the ray will now be directed at an angle of 120 degrees relative to the original horizontal direction. This is because the ray reflects off at 60 degrees from the normal of the second mirror, which is itself inclined at 60 degrees to the first mirror. Therefore, the total deviation from the original path is:

• First reflection: 60 degrees upward
• Second reflection: another 60 degrees upward

Thus, the total deviation from the original horizontal path is 60 degrees + 60 degrees = 120 degrees.

Visualizing the Scenario

To visualize this, you can think of the mirrors as two walls forming a corner. When the light hits the first wall (mirror), it bounces off and heads towards the second wall. After hitting the second wall, it bounces again, but now it’s directed away from the original path, creating a total deviation of 120 degrees.

Conclusion

In summary, when a ray of light reflects off two mirrors inclined at a 60-degree angle, the resultant deviation from its original path is indeed 120 degrees. This phenomenon illustrates the principles of reflection and the geometric relationships between angles in a clear and engaging way.