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amanara
- 11
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Prove how focus of a spherical mirror = Radius of curvature/2
We know that if the object is at the center of radius of curvature R, then the image is also at the center of radius of curvature. So fo = fi = Ramanara said:but what if the object distance is not equal to image distance?
The focus of a spherical mirror refers to the point at which all the light rays parallel to the principal axis of the mirror converge or appear to diverge from after reflection.
The focus of a spherical mirror is directly related to the radius of curvature, with the focus being equal to half of the radius of curvature. This means that if the radius of curvature is doubled, the focus will also be doubled.
The focus of a spherical mirror is important because it determines the magnification and clarity of the reflected image. It also plays a crucial role in the design and functionality of optical devices such as telescopes and cameras.
Yes, the focus of a spherical mirror can be changed by varying the distance between the mirror and the object being reflected, or by using a lens in front of the mirror to alter the path of the light rays.
The focus of a spherical mirror can be calculated using the formula F = R/2, where F is the focal length and R is the radius of curvature. This formula is derived from the relation between the focal length, radius of curvature, and the distance between the mirror and the object being reflected.