Two thin lenses of focal length f1 and f2 are coaxially placed in contact with each other then t

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Two thin lenses of focal length f1 and f2 are coaxially...

Two thin lenses of focal length $\mathrm{f}_{1}$ and $\mathrm{f}_{2}$ are coaxially placed in contact with each other then the power of combination is (A) $\left[\left(\mathrm{f}_{1}+\mathrm{f}_{2}\right) / 2\right]$ (B) $\sqrt{\left(f_{1} / f_{2}\right)}$ (C) $\left[\left(\mathrm{f}_{1} \mathrm{f}_{2}\right) /\left(\mathrm{f}_{1}+\mathrm{f}_{2}\right)\right]$ (D) $\left[\left(\mathrm{f}_{1}+\mathrm{f}_{2}\right) /\left(\mathrm{f}_{1} \mathrm{f}_{2}\right)\right]$

Two thin lenses of focal length $\mathrm{f}_{1}$ and $\mathrm{f}_{2}$ are coaxially placed in contact with each other then the power of combination is
(A) $\left[\left(\mathrm{f}_{1}+\mathrm{f}_{2}\right) / 2\right]$
(B) $\sqrt{\left(f_{1} / f_{2}\right)}$
(C) $\left[\left(\mathrm{f}_{1} \mathrm{f}_{2}\right) /\left(\mathrm{f}_{1}+\mathrm{f}_{2}\right)\right]$
(D) $\left[\left(\mathrm{f}_{1}+\mathrm{f}_{2}\right) /\left(\mathrm{f}_{1} \mathrm{f}_{2}\right)\right]$

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Key Concepts

Lens Power

Lens power is defined as the reciprocal of the focal length and is measured in diopters. It indicates how strongly a lens converges or diverges light and is fundamental in determining the focusing properties of an optical system.

Thin Lens Equation

The thin lens equation relates the object distance, image distance, and the focal length of a lens. It is a principle used to calculate the behavior of light as it passes through a lens and is essential for understanding image formation in optics.

Combined Lens System

When two thin lenses are positioned coaxially in contact, their individual powers add together to form the combined system’s power. This concept allows for simplifying the analysis of multiple lens systems as it equates the overall effect to that of a single lens with the sum of the individual diopter values.

Effective Focal Length

The effective focal length of a combination of lenses is determined by the reciprocal of the total power of the system, expressed as 1/f_eff = 1/f1 + 1/f2. This concept is crucial for understanding how multiple lenses work in tandem to alter the convergence or divergence of light.

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