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Which of the following property will not affect the focal length of a spherical lens?
1. Radius of the lens
2. Refractive index of the lens material
3. The distance of object from the lens
4. Material of the lens

1 Answer

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Best answer
Correct Answer - Option 3 : The distance of object from the lens

CONCEPT:

  • Focal length: When light passes through a lens, the measure of how strongly the system converges or diverges the light.
    • The focal length is the inverse of the system's optical power.
  • The radius of curvature: The distance between the vertex and the center of curvature is called the radius of curvature of the surface.
  • Refractive Index: The ratio of the speed of light in a vacuum and the speed of light in the lens material is called the Refractive Index.

The focal length of a lens is given by the lens maker formula:

\(\frac{1}{f}=(μ-1)(\frac{1}{R_1}-\frac{1}{R_2})\)

where f is the focal length of the lens, μ is the refractive index of the lens, and R1 and R2 are the radiuses of curvature.

EXPLANATION:

  • In the lens formula of the focal length, the radius of the lens term affects the focal length of the lens.
  • According to the lens formula, changing the refractive index will change the focal length.
  • Changing the material of the lens will change the refractive index of the material, which will change the focal length of the material.
  • The distance of the object from the lens does not affect the focal length of the lens. However, it affects the distance of the image from the lens.
  • So the correct answer is option 3.

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