Which among the following represents the Lens formula?

Correct option is B

The Correct Answer Is: (b) 1/v − 1/u = 1/f

Explanation:
The Lens formula is used to relate the object distance (u), the image distance (v), and the focal length (f) of a lens. It is given by:
1v−1u=1f\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$$\frac{1}{v}​ − \frac{1}{u} = \frac{1}{f}​$$​​
Where:

• v is the image distance (the distance from the lens to the image),
• u is the object distance (the distance from the lens to the object),
• f is the focal length of the lens (the distance at which parallel rays of light converge or diverge after passing through the lens).

This formula is valid for both converging and diverging lenses, and it helps in calculating the position of the image formed by a lens.

Information Booster:

• Object and Image Relationship: The object distance (u) is always negative if the object is on the same side of the light source, and the image distance (v) is positive for a real image and negative for a virtual image.
• Focal Length Sign Convention: For converging lenses, the focal length (f) is positive, while for diverging lenses, it is negative.
• Applications: The lens formula is used in various optical instruments, including cameras, glasses, microscopes, and telescopes, to calculate image formation.