Answer:
m = 312.5
Step-by-step explanation:
Given that,
The focal length of the objecive lens,
![f_o=1\ cm](https://img.qammunity.org/2021/formulas/physics/college/xa2dbqvdkjanrcfc1dcv2w3xjx8mozl8mx.png)
The focal length of eye piece,
![f_e=2\ cm](https://img.qammunity.org/2021/formulas/physics/college/9u3vg996qonez3mg6ehpav1lgb3caf182u.png)
length of the tube, L = 25 cm
We need to find the magnitude of the overall magnification of the microscope. It is given by the formula as follows :
![m=(L)/(f_o)* (D)/(f_e)](https://img.qammunity.org/2021/formulas/physics/college/d4067plmk5dnpkqmgyw4r9edttfqzj59op.png)
D = 25 cm
So,
![m=(25)/(1)* (25)/(2)\\\\m=312.5](https://img.qammunity.org/2021/formulas/physics/college/ng7q5t4u8eh5784v3lt4co4e4tmvdzfe1c.png)
So, the overall magnification of the microscope is 312.5.