Combination of Thin Lenses in Contact: When two thin lenses are placed in contact, the resulting system behaves as a single lens with a focal length and magnification that depend on the individual properties of each lens. By combining lenses in different configurations, it is possible to achieve a wide range of optical effects, such as image magnification, image inversion, and focal length adjustment.

Combination of Thin Lenses in Contact

When two thin lenses are placed in contact with each other, their optical properties can be combined to determine the overall effect on an incident light ray. This can be useful in the design of optical systems where multiple lenses are needed to achieve a desired optical effect.

The basic rule for combining lenses in contact is:

1/f = 1/f₁ + 1/f₂

where f is the focal length of the combined system, and f₁ and f₂ are the focal lengths of the individual lenses.

If the two lenses have the same focal length (f₁ = f₂), the formula simplifies to:

1/f = 2/f₁

or

f = f₁/2

This means that the combined system has a focal length half that of the individual lenses.

When two lenses are in contact, the total magnification of the system can also be calculated as the product of the individual magnifications of each lens:

M = M₁ x M₂

where M is the total magnification, and M₁ and M₂ are the individual magnifications of each lens.

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By Team Learning Mantras