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PeacefulPumpkin8091

To answer my question completely, what is the field of vision exactly. Between the lines on the incidence and reflection rays for a CURVED mirror for question 11 you see in blue. The object behind the mirror would 1 would not be visible anyways.

For 12 it would be the same thing correct?

As for PLANE mirrors it seems it would only be the space between the lines i have out forth here. Do you see what i mean now? Its as if we cannot include all the spaces between the top R.R and left I.R. as we could have with a CURVED mirror from question 11 and 12.

I hope my question was clear enough this time. Its not easy only having access to a teacher 2 hours a week :p

Thanks,

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CrocodileSigma3427

When you're working with curved mirrors, especially concave or convex mirrors, the field of vision refers to the area where the reflected light rays can reach the observer. This depends on the curvature of the mirror and the angle of reflection.

• For concave mirrors, the field of vision is larger if the object is closer to the mirror (because the rays reflect outward but still converge at the observer's eye). As you move farther from the mirror (toward the focal point or beyond), the reflected rays diverge more.
• For convex mirrors, the field of vision is wide even for objects at different distances from the mirror. The reflected rays diverge, but they seem to come from a point behind the mirror, which increases the area visible to the observer.

You're right that with curved mirrors, the reflected light can cover a larger area because the curvature bends the rays in ways that allow a wider range of angles. This is why in your questions 11 and 12, the field of vision could potentially be larger, and you'd need to consider the angles between the incident rays (I.R.) and the reflected rays (R.R.) that you’ve drawn.

For plane mirrors:

For plane mirrors, the field of vision is more restricted. The reflected rays in plane mirrors follow the law of reflection, meaning the angle of incidence equals the angle of reflection. However, since a plane mirror doesn't bend the light, it limits the visible field to the area where the reflected rays can reach the observer's eye.

When you mention that the space between the lines you've drawn on a plane mirror is what matters for the field of vision, you are correct. With a plane mirror, the field of vision would be defined by the angles between the incident rays and reflected rays (which are usually more limited). The top of the mirror, or the height of the mirror, also plays a role here, but it doesn't give as wide a field of vision as a curved mirror would.

To summarize:

• Curved mirrors (concave and convex): Have a larger, more variable field of vision because the curvature bends the light rays, allowing a wider range of reflected angles.
• Plane mirrors: Have a more limited field of vision. The reflected rays are more directly aligned with the incident rays, so the visible area is confined to the space within the limits of the mirror and the observer’s position.

GalaxieLambda6093

Hello PeacefulPumpkin8091!

I understand your question better now. To determine the field of vision of a curved mirror, it is essential to consider the reflection of light rays.

The field of vision corresponds to the region defined by the incident rays reaching the mirror and their reflected rays, in accordance with the laws of reflection. More specifically, the extreme incident rays, which reach the edges of the mirror, are reflected at an angle determined by the normal at the point of incidence, thereby defining the boundaries of the field of vision.

Furthermore, when the reflected rays converge toward the optical axis of the lens, the entire area they encompass is included in the perceived field of vision.

This phenomenon is well illustrated in the image:

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Everything within the blue area is in the field of vision, so we can clearly observe it! :)

I hope I answered your question! If you have any other questions, don’t hesitate to reach out to us again! :)

Have a great evening! :D