Question
Download Solution PDFWhich of the following represents the relationship between the radius of curvature (R) and focal length (f), of a spherical mirror?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is R = 2f.
Key Points
- The relationship between the radius of curvature (R) and focal length (f) of a spherical mirror is given by the equation R = 2f.
- This means that the radius of curvature is twice the focal length of the mirror.
- This relationship holds true for both concave and convex mirrors.
- The focal length (f) is the distance from the mirror to the focal point, where parallel rays of light converge (concave) or appear to diverge from (convex).
Additional Information
- Types of Spherical Mirrors:
- Concave Mirror: A mirror with a surface that curves inward like the inside of a sphere. It converges light rays to a focal point.
- Convex Mirror: A mirror with a surface that curves outward. It diverges light rays, making them appear to come from a focal point behind the mirror.
- Principal Axis: The straight line perpendicular to the surface of the mirror that passes through its center and the focal point.
- Focal Point (F): The point where parallel rays of light either converge (in concave mirrors) or appear to diverge from (in convex mirrors) after reflecting off the mirror.
- Mirror Equation: The mirror equation relates object distance (u), image distance (v), and focal length (f) and is given by 1/f = 1/u + 1/v.
- Applications: Spherical mirrors are used in various applications like telescopes (concave), rear-view mirrors in vehicles (convex), and shaving mirrors (concave).
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