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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Dispersion and Spectra

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Dispersion and Spectra

Which of the following quantities associated with a lens depend on...

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 μ\mu of the material of a lens depends on the wavelength λ\lambda of the incident light according to Cauchy's relation μ=A+Bλ2\mu = A + \dfrac{B}{\lambda^2}.

The focal length ff is given by the Lens Maker's formula \dfrac{1}{f} = (\mu - 1) \left(\dfrac{1}{R_1} - \dfrac{1}{R_2} \right). Since μ\mu depends on λ\lambda, the focal length ff depends on the wavelength of the incident light.

The power of a lens is P=P =\dfrac{1}{f}, which also depends on λ\lambda because ff depends on λ\lambda.

Chromatic aberration is the difference in focal lengths for different wavelengths (e.g., fr−fvf_r - f_v) due to dispersion. It arises directly from the dependence of the refractive index on the wavelengths of the incident light.

The radii of curvature R1R_1 and R2R_2 are geometric properties of the lens and are independent of the wavelength of light.
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