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
Considering only the magnitudes, which of the following quantities...
Considering only the magnitudes, which of the following quantities increase as the wavelength is increased?
Options
- AThe focal length of a diverging lens.
- BThe power of a converging lens.
- CThe power of a diverging lens.
- DThe focal length of a converging lens.
Correct answer
D. The focal length of a converging lens.
Step-by-step solution
According to Cauchy's formula, the refractive index of a material is given by .
As the wavelength increases, the refractive index decreases.
From the lens maker's formula, the focal length is given by \left(\dfrac{1}{R_1} - \dfrac{1}{R_2}\right).
The power of a lens is defined as \dfrac{1}{f}.
Since decreases with an increase in , the term decreases. This implies that the magnitude of \dfrac{1}{f} decreases, and consequently, the magnitude of the focal length increases.
Therefore, the magnitude of the focal length of both a converging lens and a diverging lens increases as the wavelength is increased. The magnitude of the power of both lenses decreases.
As the wavelength increases, the refractive index decreases.
From the lens maker's formula, the focal length is given by \left(\dfrac{1}{R_1} - \dfrac{1}{R_2}\right).
The power of a lens is defined as \dfrac{1}{f}.
Since decreases with an increase in , the term decreases. This implies that the magnitude of \dfrac{1}{f} decreases, and consequently, the magnitude of the focal length increases.
Therefore, the magnitude of the focal length of both a converging lens and a diverging lens increases as the wavelength is increased. The magnitude of the power of both lenses decreases.