The focal lengths for violet,green,and red li | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) According to the lens maker's formula,the focal length $f$ is related to the refractive index $\mu$ as $f \propto \frac{1}{\mu - 1}$.From Cauchy's

Vedclass · Accepted Answer

${f_V} < {f_G} < {f_R}$

Vedclass · Answer

(B) According to the lens maker's formula,the focal length $f$ is related to the refractive index $\mu$ as $f \propto \frac{1}{\mu - 1}$.From Cauchy's dispersion formula,the refractive index $\mu$ is inversely proportional to the wavelength $\lambda$ (i.e.,$\mu \propto \frac{1}{\lambda}$).Since the wavelength of violet light is the shortest $({\lambda_V}  {\mu_G} > {\mu_R})$.Consequently,the focal length is inversely related to the refractive index,meaning the focal length for violet light is the shortest.Therefore,the correct relationship is ${f_V} < {f_G} < {f_R}$.

The focal lengths for violet,green,and red light rays are ${f_V}$,${f_G}$,and ${f_R}$ respectively. Which of the following is the true relationship?

Similar Questions

The light gathering power of a camera lens depends on:

$A$ thin glass (refractive index $1.5$) lens has an optical power of $-5 D$ in air. Its optical power in a liquid medium with a refractive index of $1.6$ will be:

An object is placed at a distance of $1.50 \, m$ from a screen. $A$ convex lens is placed between them to produce a four times magnified image on the screen. The focal length of the lens is ..... $cm$.

The minimum distance between an object and its real image formed by a convex lens is

Explain the first focal point and second focal point for a lens.

Vedclass Test Series

Exam Paper Generator

Online Exam Module