When an object is at infinity from a concave mirror, the image formed ...
Concave Mirrors and Infinity
Concave mirrors are spherical mirrors that curve inward like a spoon. They are also known as converging mirrors because they focus incoming light rays to a point. When an object is placed in front of a concave mirror, a real or virtual image is formed depending on the position of the object.
When the object is at infinity from the concave mirror, the image formed is at the focus of the mirror.
Explanation:
- When an object is at infinity, the light rays coming from it are parallel to each other.
- These parallel rays fall on the concave mirror and are reflected in such a way that they converge at a point.
- This point is called the focus of the mirror.
- Since the image is formed at the point where the light rays converge, the image is also formed at the focus of the mirror.
- Thus, when an object is at infinity from a concave mirror, the image formed is at the focus of the mirror.
Why is the image formed at the focus?
- According to the mirror formula, 1/f = 1/v + 1/u, where f is the focal length, v is the image distance, and u is the object distance.
- When the object is at infinity, the object distance (u) becomes infinite.
- So, the mirror formula reduces to 1/f = 1/v.
- Since the object is at infinity, the image distance (v) is equal to the focal length (f) of the mirror.
- Hence, the image is formed at the focus of the mirror.
Conclusion:
When an object is at infinity from a concave mirror, the image formed is at the focus of the mirror. This is because the light rays coming from the object are parallel to each other and converge at the focus of the mirror.
When an object is at infinity from a concave mirror, the image formed ...
At the focus of the mirror
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