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Concepts Of Physics MCQ Edition [Volume 1]PhysicsDispersion and Spectra

Which of the following quantities associated with a lens depend on the wavelength or wavelengths of the incident light?

Options

  1. ARadii of curvature
  2. BFocal length
  3. CChromatic aberration
  4. DPower

Correct answer

D. Power

Step-by-step solution

The refractive index of the material of a lens depends on the wavelength of the incident light according to Cauchy's relation = A + B ^2 . The focal length f is given by the Lens Maker's formula 1 f = ( - 1) ( 1 R₁ - 1 R₂ ) . Since depends on , the focal length f depends on the wavelength of the incident light. The power of a lens is P = 1 f , which also depends on because f depends on . Chromatic aberration is the difference in focal lengths for different wavelengths (e.g., f_r - f_v ) due to dispersion. It arises

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