Mirror Formula of Convex Mirror Derivation and Explanation
The mirror formula of convex mirror relates the object distance (u), image distance (v), and focal length (f) of a convex mirror. It helps in locating images formed by convex mirrors in physics.
What Is a Convex Mirror?
A **convex mirror** is a spherical mirror that bulges outward. It always forms a **virtual, erect, and diminished image** irrespective of the object position.
Sign Convention
In mirror calculations, we use the sign convention:
- Object distance (u) is always negative (object in front)
- Image distance (v) is positive for virtual images
- Focal length (f) of convex mirror is positive
Derivation of Mirror Formula
For a convex mirror, using geometry of rays and similar triangles:
1/f = 1/v + 1/u
Here,
f = focal length of the convex mirror,
v = image distance (positive),
u = object distance (negative).
Final Mirror Formula
The final mirror equation for convex mirrors can be written as:
1/f = 1/v + 1/u
This formula helps determine where the image will form when an object is placed at a known distance from a convex mirror.
For convex mirrors, the image formed is always behind the mirror (virtual), hence v is taken positive according to the sign convention.
Mirror Formula of Convex Mirror Derivation and Explanation
Keywords
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convex mirror, mirror formula, optics, 1/f equation, virtual image, physics theory, Class 10, NEB, SEE, CTEVT, physics notes, exam question, aklearningnepal, education,Mirror Formula of Convex Mirror Derivation and Explanation
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Mirror Formula of Convex Mirror Derivation and Explanation
