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Question

A compound lens free from spherical aberration is known as:

The correct answer is

aplanatic combination

Spherical Aberration in Lenses

When light passes through a lens, especially at its edges, it can bend at different angles compared to light passing through the center. This causes light rays from a single point object to converge at slightly different points after passing through the lens, instead of converging to a perfect single point. This defect is known as spherical aberration.

Spherical aberration makes the image appear blurry or distorted, particularly for objects located off the optical axis. It affects the quality and sharpness of the final image formed by the lens.

Understanding Aplanatic Combination

An aplanatic system is an optical system that is designed to be free from both spherical aberration and coma for a particular object point. When a compound lens (a combination of multiple lenses) is designed to eliminate or significantly reduce spherical aberration (and often coma), it is referred to as an aplanatic combination.

By carefully selecting the materials, shapes, and spacing of the individual lenses within the compound system, optical designers can minimize or eliminate spherical aberration, resulting in a sharper, clearer image.

Analyzing the Options

Let's look at the given options in the context of correcting lens aberrations:

  • Elimination of parallax: Parallax refers to the apparent shift in the position of an object when viewed from different angles. While important in some optical instruments (like telescopes with reticles), it is not a property of the lens itself or a method for correcting lens aberrations like spherical aberration.
  • Magnification: Magnification is the process of making an object appear larger than its actual size. It is a function of the lens or optical system's design but does not inherently relate to correcting aberrations. Lenses provide magnification, but spherical aberration can still be present.
  • Aplanatic combination: As discussed, an aplanatic system is specifically designed to correct spherical aberration (and coma). A compound lens achieving this correction is called an aplanatic combination.
  • Achromatic combination: An achromatic combination is a compound lens system designed to correct chromatic aberration. Chromatic aberration occurs because different colors (wavelengths) of light bend at different angles when passing through a lens, causing them to focus at different points. This is distinct from spherical aberration, which affects all wavelengths similarly but depends on where the light ray hits the lens surface.

Based on the definitions, a compound lens specifically designed to be free from spherical aberration is known as an aplanatic combination.

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Important Questions from Accuracy and Errors

  1. The clogging of chain rings with mud introduces (with ‘error’ defined in the standard way)

    1. Negative cumulative error

    2. Positive cumulative error

    3. Compensating error

  2. An angle measured with theodolite is α with weight 2. The weight of \(\rm \frac{\alpha}{4}\) will be

  3. If the probable error in single observation is ± 0.04 m and that of the mean is ± 0.01 m, then the number of observations are

  4. Errors arising from carelessness of the observer are known as

  5. The errors such as sag in chain and chain not being horizontal during stepping are common in:

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