A microscope consists of an objective of foca | vedclass

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

Question

(B) For the eyepiece, the image distance $V_e = -25 \,cm$ and focal length $f_e = 5 \,cm$. Using the lens formula $\frac{1}{V_e} - \frac{1}{u_e} = \fr

Vedclass · Accepted Answer

$2.7$

Vedclass · Answer

(B) For the eyepiece, the image distance $V_e = -25 \,cm$ and focal length $f_e = 5 \,cm$. Using the lens formula $\frac{1}{V_e} - \frac{1}{u_e} = \frac{1}{f_e}$:$\frac{1}{-25} - \frac{1}{u_e} = \frac{1}{5} \Rightarrow \frac{1}{u_e} = -\frac{1}{25} - \frac{1}{5} = -\frac{6}{25} \Rightarrow u_e = -\frac{25}{6} \,cm$.The distance of the intermediate image from the objective is $v_0 = L - |u_e| = 10.5 - \frac{25}{6} = \frac{63 - 25}{6} = \frac{38}{6} \,cm$.For the objective lens, using the lens formula $\frac{1}{v_0} - \frac{1}{u_0} = \frac{1}{f_0}$ with $f_0 = 1.9 \,cm$:$\frac{6}{38} - \frac{1}{u_0} = \frac{1}{1.9} \Rightarrow \frac{1}{u_0} = \frac{6}{38} - \frac{10}{19} = \frac{6 - 20}{38} = -\frac{14}{38}$.$u_0 = -\frac{38}{14} \approx -2.71 \,cm$.Thus, the object should be placed at a distance of $2.7 \,cm$ from the objective.

Similar Questions

$A$ simple microscope is used to see an object first in blue light and then in red light. Due to the change from blue to red light, what is the effect on its magnifying power?

If the tube-length $(L)$ of a compound microscope increases,then its magnification . . . . . . .

The focal lengths of the objective and the eyepiece of a compound microscope are $1 \, cm$ and $5 \, cm$ respectively. An object is placed at a distance of $1.1 \, cm$ from the objective. If the final image is formed at infinity,the magnifying power of the microscope is:

For which of the following colours will the magnifying power of a microscope be maximum?

When the final image is formed at the least distance of distinct vision $(D)$ from the eye,the magnifying power of a simple microscope is ($f$ is the focal length of the lens):

Vedclass Test Series

Exam Paper Generator

Online Exam Module