Question
An object is placed at a distance u from a simple microscope of focal length f. The angular magnification obtained depends:
  1. On f but not on u.
  2. On u but not on f.
  3. On f as well as u.
  4. Neither on f nor on u.

Answer

  1. On f as well as u.

Explanation:

​The angular magnification is the ratio of the angle subtended by the image to the angle subtended by the object on an unaided eye.

In a simple microscope,

$\text{m}=\frac{\frac{\text{h}}{\text{x}}}{\frac{\text{h}}{\text{D}}}$

Here,

u = Object distance from the lems 

D = Image distance form the lens

h = Height of the object

In normal adjustment, the object is placed at a distance equal to focal length (f) from the lens and then magnification is given by m

$=\frac{\text{D}}{\text{f}}$

for $\text{u}<\text{f},\text{ m}=\frac{\text{D}}{\text{f}}+1$

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