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Can two refracted rays be parallel to ea...

Can two refracted rays be parallel to each other even if incident rays are not?

A

Yes

B

No

C

data insufficient

D

none of these

Text Solution

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The correct Answer is:
To solve the question "Can two refracted rays be parallel to each other even if the incident rays are not?", we will analyze the conditions under which refraction occurs and the relationship between incident and refracted rays. ### Step-by-Step Solution: 1. **Understanding Refraction**: Refraction occurs when light passes from one medium to another, changing its speed and direction. The relationship between the angles of incidence and refraction is described by Snell's Law, which states: \[ n_1 \sin(i) = n_2 \sin(r) \] where \( n_1 \) and \( n_2 \) are the refractive indices of the two media, \( i \) is the angle of incidence, and \( r \) is the angle of refraction. 2. **Analyzing Incident Rays**: If we have two incident rays that are not parallel, it means that their angles of incidence (\( i_1 \) and \( i_2 \)) are different. Consequently, according to Snell's Law, the angles of refraction (\( r_1 \) and \( r_2 \)) will also be different if both rays are entering the same medium. 3. **Condition for Parallel Refracted Rays**: For the refracted rays to be parallel, their angles of refraction must be equal. This can only happen if the angles of incidence are such that they compensate for the differences in refractive indices. However, if the incident rays are not parallel, their angles of incidence will not be the same, leading to different angles of refraction. 4. **Different Media Scenario**: It is possible for two refracted rays to be parallel if they enter different media with different refractive indices. For instance, if one ray enters medium A and the other enters medium B, and if the conditions of Snell's Law allow for their angles of refraction to be equal, then the refracted rays can be parallel. 5. **Conclusion**: Therefore, in general, if the incident rays are not parallel and they enter the same medium, the refracted rays cannot be parallel. However, if they enter different media, it is possible for the refracted rays to be parallel depending on the refractive indices and angles of incidence. ### Final Answer: The answer to the question is **Data Insufficient**, as the possibility of parallel refracted rays depends on the refractive indices of the media and the angles of incidence. ---

To solve the question "Can two refracted rays be parallel to each other even if the incident rays are not?", we will analyze the conditions under which refraction occurs and the relationship between incident and refracted rays. ### Step-by-Step Solution: 1. **Understanding Refraction**: Refraction occurs when light passes from one medium to another, changing its speed and direction. The relationship between the angles of incidence and refraction is described by Snell's Law, which states: \[ n_1 \sin(i) = n_2 \sin(r) \] ...
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