The correct relation between and f,u and v for a spherical mirror is:

Correct option is D

The correct answer is (d) $$\frac{1}{f}$$​​=$$\frac{1}{v}$$​+$$\frac{1}{u}$$​​

​$$\frac{1}{f}$$​​=$$\frac{1}{v}$$​+$$\frac{1}{u}$$​​

Where:

• f = Focal length of the mirror (in meters or centimeters),
• v = Image distance (in meters or centimeters, positive for real images, negative for virtual images),
• u = Object distance (in meters or centimeters, negative for real objects in front of the mirror, positive for virtual objects behind the mirror).

• The lens formula for spherical mirrors (concave and convex mirrors) is quite similar to the lens formula for lenses.
• It relates the object distance (u), image distance (v), and focal length (f) of a spherical mirror.
• The spherical mirrors can be either concave or convex, and the formula can be applied to both types.

1. Concave Mirror:

   • Converging mirror, focuses light rays inward.
   • The focal length is positive, and the image formed can be real or virtual depending on the object position.

2. Convex Mirror:

   • Diverging mirror, spreads light rays outwards.
   • The focal length is negative, and the image formed is always virtual, upright, and diminished.

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