Concepts Of Physics MCQ Edition [Volume 1]PhysicsDispersion and Spectra
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 = A + B ^2 . As the wavelength increases, the refractive index decreases. From the lens maker's formula, the focal length f is given by 1 f = ( - 1) ( 1 R₁ - 1 R₂ ) . The power of a lens is defined as P = 1 f . Since decreases with an increase in , the term ( - 1) decreases. This implies that the magnitude of 1 f decreases, and consequently, the magnitude of the focal length f increases. Therefore, the magnitude of the focal length of bot