The focal lengths of the objective and the ey | vedclass

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

Question

(A) Given: Focal length of objective $f_o = 2.0 \, cm$,focal length of eye-piece $f_e = 3.0 \, cm$,and tube length $L = 15.0 \, cm$.When the final ima

Vedclass · Accepted Answer

$2.4$ and $12.0$

Vedclass · Answer

(A) Given: Focal length of objective $f_o = 2.0 \, cm$,focal length of eye-piece $f_e = 3.0 \, cm$,and tube length $L = 15.0 \, cm$.When the final image is formed at infinity,the eye-piece is adjusted such that the intermediate image formed by the objective lies at the principal focus of the eye-piece.Therefore,the distance of the intermediate image from the objective $(v_o)$ is given by $L = v_o + f_e$.$15.0 = v_o + 3.0 \Rightarrow v_o = 12.0 \, cm$.Now,using the lens formula for the objective lens: $\frac{1}{f_o} = \frac{1}{v_o} - \frac{1}{u_o}$.Substituting the values: $\frac{1}{2.0} = \frac{1}{12.0} - \frac{1}{u_o}$.$\frac{1}{u_o} = \frac{1}{12.0} - \frac{1}{2.0} = \frac{1 - 6}{12.0} = -\frac{5}{12.0}$.$u_o = -\frac{12.0}{5} = -2.4 \, cm$.The magnitude of the object distance is $2.4 \, cm$ and the image distance is $12.0 \, cm$.

Similar Questions

What is a simple microscope? Obtain the equation of magnification for the image formed at the near point (normal vision distance).

In a compound microscope,the focal length of the objective and eyepiece lens is $4\,cm$ and $8\,cm$ respectively. If the length of the tube is $30\,cm$,then the magnifying power for normal adjustment is:

The objective lens of a compound microscope produces a magnification of $10$. In order to get an overall magnification of $100$ when the image is formed at $25 \, cm$ from the eye,the focal length of the eye lens should be:

Which of the following statements are true in the context of a Compound Microscope?

$A$ thin convex lens of focal length $5 \, cm$ is used as a simple microscope by a person with a normal near point of $25 \, cm$. What is the magnifying power of the microscope?

Vedclass Test Series

Exam Paper Generator

Online Exam Module