Mirror 2 TK Incident ray Mirror 1 In the figure the laser beam strikes the first mirror M₁ at a point 11.5 cm from the corner point (point of intersection of two mirrors). Calculate the angle at which the ray strikes the second mirror, if it strikes at the midpoint of the second mirror (M₂) 14.0 cm away from the corner point, after being reflected by the 1st mirror. 26° 45⁰ 52⁰ 39⁰

icon
Related questions
Question
### Reflection of Laser Beam on Perpendicular Mirrors

**Illustration Description:**
The provided diagram illustrates two perpendicular mirrors. Mirror 1 is positioned horizontally, and Mirror 2 is aligned vertically. An incident ray strikes Mirror 1 at an angle θ to the surface. The point of incidence on Mirror 1 is 11.5 cm from the intersection point of the two mirrors. After reflecting off Mirror 1, the ray then strikes the midpoint of Mirror 2, which is 14.0 cm from the intersection point of the two mirrors.

**Problem Statement:**
In the figure, the laser beam strikes the first mirror \(M_1\) at a point 11.5 cm from the corner point (point of intersection of two mirrors). Calculate the angle at which the ray strikes the second mirror, if it strikes at the midpoint of the second mirror (\(M_2\)) 14.0 cm away from the corner point, after being reflected by the 1st mirror.

**Angle Calculation Options:**
- 26°
- 45°
- 52°
- 39°

**Steps to Solve:**
1. Determine the position of the incident ray on Mirror 1.
2. Calculate the reflection path from Mirror 1 to Mirror 2.
3. Apply geometric principles to find the angle θ.

**Answer Choices Analysis:**
The correct angle will be determined based on the geometric positioning of the mirrors and applying the laws of reflection. Each choice represents a possible angle θ.

**Multiple Choice Options:**
- 26°
- 45°
- 52°
- 39°

Evaluate each option by solving the geometric equations derived from the given distances.

---

This explanation provides an outline of the problem scenario as well as possible solution angles, encouraging students to apply geometric principles and reflection laws to find the correct angle at which the ray strikes the second mirror.
Transcribed Image Text:### Reflection of Laser Beam on Perpendicular Mirrors **Illustration Description:** The provided diagram illustrates two perpendicular mirrors. Mirror 1 is positioned horizontally, and Mirror 2 is aligned vertically. An incident ray strikes Mirror 1 at an angle θ to the surface. The point of incidence on Mirror 1 is 11.5 cm from the intersection point of the two mirrors. After reflecting off Mirror 1, the ray then strikes the midpoint of Mirror 2, which is 14.0 cm from the intersection point of the two mirrors. **Problem Statement:** In the figure, the laser beam strikes the first mirror \(M_1\) at a point 11.5 cm from the corner point (point of intersection of two mirrors). Calculate the angle at which the ray strikes the second mirror, if it strikes at the midpoint of the second mirror (\(M_2\)) 14.0 cm away from the corner point, after being reflected by the 1st mirror. **Angle Calculation Options:** - 26° - 45° - 52° - 39° **Steps to Solve:** 1. Determine the position of the incident ray on Mirror 1. 2. Calculate the reflection path from Mirror 1 to Mirror 2. 3. Apply geometric principles to find the angle θ. **Answer Choices Analysis:** The correct angle will be determined based on the geometric positioning of the mirrors and applying the laws of reflection. Each choice represents a possible angle θ. **Multiple Choice Options:** - 26° - 45° - 52° - 39° Evaluate each option by solving the geometric equations derived from the given distances. --- This explanation provides an outline of the problem scenario as well as possible solution angles, encouraging students to apply geometric principles and reflection laws to find the correct angle at which the ray strikes the second mirror.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions