A convex lens of focal length 84 cm is in co | vedclass

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

Question

(C) The focal length of a convex lens is $f_1 = +84 \ cm$ and the focal length of a concave lens is $f_2 = -12 \ cm$.For a combination of thin lenses

Vedclass · Accepted Answer

$-50/7$

Vedclass · Answer

(C) The focal length of a convex lens is $f_1 = +84 \ cm$ and the focal length of a concave lens is $f_2 = -12 \ cm$.For a combination of thin lenses in contact,the equivalent focal length $F$ is given by the formula:$\frac{1}{F} = \frac{1}{f_1} + \frac{1}{f_2}$Substituting the values:$\frac{1}{F} = \frac{1}{84} + \frac{1}{-12} = \frac{1 - 7}{84} = \frac{-6}{84} = -\frac{1}{14} \ cm^{-1}$Thus,$F = -14 \ cm$.The power $P$ of the combination in diopters $(D)$ is given by $P = \frac{100}{F(cm)}$:$P = \frac{100}{-14} = -\frac{50}{7} \ D$.

$A$ convex lens of focal length $84 \ cm$ is in contact with a concave lens of focal length $12 \ cm$. The power of the combination (in diopters) is:

Similar Questions

An achromatic convergent lens of focal length $20 \, cm$ is made of two lenses (in contact) of materials having dispersive powers in the ratio of $1 : 2$ and having focal lengths $f_1$ and $f_2$. Which of the following is true?

Find the linear magnification in the given diagram.

Two thin lenses of focal lengths $f_1$ and $f_2$ are in contact and coaxial. The power of the combination is

As shown in the figure,a concave lens of focal length $50 \, cm$ and a convex lens of focal length $25 \, cm$ are placed in contact with each other. If a parallel beam of light is incident on the system,how will it emerge?

In a certain camera,a combination of four similar thin convex lenses are arranged axially in contact. Then the power of the combination and the total magnification in comparison to the power $(p)$ and magnification $(m)$ for each lens will be,respectively

Vedclass Test Series

Exam Paper Generator

Online Exam Module