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
- ARadii of curvature
- BFocal length
- CChromatic aberration
- 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 .
The focal length is given by the Lens Maker's formula \dfrac{1}{f} = (\mu - 1) \left(\dfrac{1}{R_1} - \dfrac{1}{R_2} \right). Since depends on , the focal length depends on the wavelength of the incident light.
The power of a lens is \dfrac{1}{f}, which also depends on because depends on .
Chromatic aberration is the difference in focal lengths for different wavelengths (e.g., ) due to dispersion. It arises directly from the dependence of the refractive index on the wavelengths of the incident light.
The radii of curvature and are geometric properties of the lens and are independent of the wavelength of light.
The focal length is given by the Lens Maker's formula \dfrac{1}{f} = (\mu - 1) \left(\dfrac{1}{R_1} - \dfrac{1}{R_2} \right). Since depends on , the focal length depends on the wavelength of the incident light.
The power of a lens is \dfrac{1}{f}, which also depends on because depends on .
Chromatic aberration is the difference in focal lengths for different wavelengths (e.g., ) due to dispersion. It arises directly from the dependence of the refractive index on the wavelengths of the incident light.
The radii of curvature and are geometric properties of the lens and are independent of the wavelength of light.