What is mirror and lens formula?

Question

Answer

$!MPL€____.

___M!RROR____.

1/f = 1/v + 1/u.

____L€N$____.

1/f = 1/v - 1/ u.

Answer

Mirror formula:
1/f=1/v+1/u

lens formula:
1/f=1/v-1/u

Answer

What is the Mirror and Lens Formula?

The mirror and lens formula is a mathematical equation used to determine the characteristics of images formed by mirrors and lenses. It helps in calculating the position, size, and nature of the image formed by the reflection or refraction of light rays.

Mirror Formula

The mirror formula is given by:
$$ \frac{1}{f} = \frac{1}{v} + \frac{1}{u} $$

where:
- $ f $ is the focal length of the mirror,
- $ v $ is the image distance, and
- $ u $ is the object distance

This formula is used for concave and convex mirrors to calculate the position and nature of the image formed.

Lens Formula

The lens formula is given by:
$$ \frac{1}{f} = \frac{1}{v} + \frac{1}{u} $$

where:
- $ f $ is the focal length of the lens,
- $ v $ is the image distance, and
- $ u $ is the object distance

This formula is used for convex and concave lenses to determine the characteristics of the image formed.

Sign Convention

- In the mirror formula, distances are measured from the pole of the mirror. Distances towards the mirror are taken as negative, while distances away from the mirror are taken as positive.
- In the lens formula, distances are measured from the optical center of the lens. Distances on the same side as the object are taken as negative, while distances on the opposite side are taken as positive.

Understanding the mirror and lens formula is crucial in solving problems related to mirrors and lenses in optics.

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