What is the relation between focal length and radius of curvature of a spherical mirror?
The distance from the pole to the focal point is called the focal length (f).
The relationship between the focal length f and radius of curvature R is R = 2f.
For a spherical mirror the principal focus (F) lies exactly mid-way between the pole (P) and centre of curvature (C). So, the focal length (f) of a spherical mirror is equal to half of its radius of curvature (R).
For a spherical mirror (both for a concave and for convex), the focal length is half of radius of curvature.
Related Articles
- What is the relation between the focal length and radius of curvature of a spherical mirror (concave mirror or convex mirror)? Calculate the focal length of a spherical mirror whose radius of curvature is 25 cm.
- State the relation between object distance, image distance and focal length of a spherical mirror (concave mirror or convex mirror).
- If the focal length of a convex mirror is 25 cm, what is its radius of curvature?
- Find the focal length of a concave mirror whose radius of curvature is 32 cm.
- The focal length of a spherical mirror of radius of curvature 30 cm is:(a) 10 cm (b) 15 cm (c) 20 cm (d) 30 cm
- Python Program for the focal length of a spherical mirror
- Java Program for focal length of a spherical mirror
- If the focal length of a spherical mirror is 12.5 less cm, its radius of curvature will be:(a) 25 cm (b) 15 cm (c) 20 cm (d) 35 cm
- If R is the radius of curvature of a spherical mirror and f is its focal length, then:(a) R = $f$ (b) R = 2$f$ (c) R = $\frac{f}{2}$ (d) R = 3$f$
- A man holds a spherical shaving mirror of radius of curvature 60 cm, and focal length 30 cm, at a distance of 15 cm, from his nose. Find the position of image, and calculate the magnification.
- The real image formed by a concave mirror is larger than the object when the object is:(a) at a distance equal to radius of curvature(b) at a distance less than the focal length (c) between focus and centre of curvature(d) at a distance greater than radius of curvature
- The real image formed by a concave mirror is smaller than the object if the object is:(a) between centre of curvature and focus (b) at a distance greater than radius of curvature (c) at a distance equal to radius of curvature (d) at a distance equal to focal length
- (a) If the image formed by a mirror for all positions of the object placed in front of it is always diminished, erect and virtual, state the type of the mirror and also draw a ray diagram to justify your answer. Write one use such mirrors are put to and why.(b) Define the radius of curvature of spherical mirrors. Find the nature and focal length of a spherical mirror whose radius of curvature is +24 cm.
- A spherical mirror and a spherical lens each have a focal length of -10 cm. The mirror and the lens are likely to beboth concaveboth convexthe mirror is concave and the lens is convexthe mirror is convex and the lens is concave
- What is a spherical mirror? Distinguish between a concave mirror and a convex mirror.
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies