As shown in the figure, the angle between two plane mirrors (M1 and M2) is 125°. If the incident ray strikes mirror M1 with an angle of incidence ?1i = 64°, determine the angle of reflection ?2r for mirror M2.

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As shown in the figure, the angle between two plane mirrors (M1 and M2) is 125°. If the incident ray strikes mirror M1 with an angle of incidence ?1i = 64°, determine the angle of reflection ?2r for mirror M2.

This diagram illustrates the reflection of light rays on two mirrors, labeled \( M_1 \) and \( M_2 \).

- **Mirror \( M_1 \)**: Positioned horizontally with an incoming light ray hitting it. The angle of incidence on this mirror is labeled \( \theta_{1i} \).

- **Mirror \( M_2 \)**: Positioned at an angle to \( M_1 \). The angle between the two mirrors is \( 125^\circ \).

### Light Rays:

1. **Incident Ray on M1**: The ray approaches \( M_1 \) at an angle \( \theta_{1i} \) from the normal (a dashed line perpendicular to \( M_1 \)).
   
2. **Reflected Ray from M1 to M2**: After reflecting off \( M_1 \), the light ray travels towards \( M_2 \).

3. **Incident Ray on M2**: The ray hits \( M_2 \) at an angle, which is shown with another dashed normal line. The angle of reflection is marked as \( \theta_{2r} \).

### Angles:

- **\( \theta_{1i} \)**: The angle of incidence at mirror \( M_1 \), measured from the normal to the ray.
- **\( \theta_{2r} \)**: The angle of reflection from mirror \( M_2 \).

### Explanation:

This setup is often used to demonstrate the principles of reflection, where the angle of incidence is equal to the angle of reflection for each interaction with a mirror. The diagram shows how the angles are labeled and helps in studying the behavior of light when encountering multiple reflective surfaces.
Transcribed Image Text:This diagram illustrates the reflection of light rays on two mirrors, labeled \( M_1 \) and \( M_2 \). - **Mirror \( M_1 \)**: Positioned horizontally with an incoming light ray hitting it. The angle of incidence on this mirror is labeled \( \theta_{1i} \). - **Mirror \( M_2 \)**: Positioned at an angle to \( M_1 \). The angle between the two mirrors is \( 125^\circ \). ### Light Rays: 1. **Incident Ray on M1**: The ray approaches \( M_1 \) at an angle \( \theta_{1i} \) from the normal (a dashed line perpendicular to \( M_1 \)). 2. **Reflected Ray from M1 to M2**: After reflecting off \( M_1 \), the light ray travels towards \( M_2 \). 3. **Incident Ray on M2**: The ray hits \( M_2 \) at an angle, which is shown with another dashed normal line. The angle of reflection is marked as \( \theta_{2r} \). ### Angles: - **\( \theta_{1i} \)**: The angle of incidence at mirror \( M_1 \), measured from the normal to the ray. - **\( \theta_{2r} \)**: The angle of reflection from mirror \( M_2 \). ### Explanation: This setup is often used to demonstrate the principles of reflection, where the angle of incidence is equal to the angle of reflection for each interaction with a mirror. The diagram shows how the angles are labeled and helps in studying the behavior of light when encountering multiple reflective surfaces.
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What is the angle of reflection if the angle of incidence at a plane mirror is 50°?

 

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