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Question

Which among the following represents the Lens formula?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$

Lens Formula Derivation and Application

The Lens formula relates the focal length of a lens to the object distance and the image distance.

Understanding the Thin Lens Equation

The standard formula for a thin lens, which applies to both converging and diverging lenses, is:

$ \frac{1}{v} - \frac{1}{u} = \frac{1}{f} $

  • $f$ represents the focal length of the lens.
  • $u$ represents the distance of the object from the optical center of the lens. By convention, it's negative when the object is on the same side as the incoming light.
  • $v$ represents the distance of the image from the optical center of the lens. It's positive for real images (formed on the opposite side of the lens) and negative for virtual images (formed on the same side).

This equation is fundamental in geometrical optics for calculating image positions or focal lengths when other values are known.

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Important Questions from Optics

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