Focus: Simple microscope, compound microscope, astronomical telescope, terrestrial telescope and Galilean telescope (JEE Main level).
1) Simple Microscope (Magnifying Glass)
- Single convex lens of short focal length.
- Magnifying power is the ratio of angle subtended by image to object at the eye.
- Least distance of distinct vision: D = 25 cm
Magnifying Power:
M = 1 + (D / f)
(Image formed at least distance of distinct vision)
M = D / f
(Image formed at infinity)
Note: Smaller focal length → greater magnifying power.
2) Compound Microscope
Total magnification is the product of objective and eyepiece magnifications.
M = Mo × Me
Me = 1 + (D / fe)
Mo = vo / uo
Overall magnification:
M = (L / fo) × (1 + D / fe)
Where:
fo = focal length of objective
fe = focal length of eyepiece
L = length of microscope tube
Normal adjustment (final image at infinity):
M = (L / fo) × (D / fe)
3) Astronomical Telescope
(a) Final image at infinity (normal adjustment)
M = − (fo / fe)
Length of telescope = fo + fe
(b) Final image at least distance of distinct vision
M = (fo / fe) × (1 + fe / D)
4) Terrestrial Telescope
- Uses an additional inverting lens.
- Produces erect image.
- Inverting lens increases length but does not affect magnification.
Magnifying Power (normal adjustment):
M = fo / fe
Length of telescope:
fo + 4f + fe
5) Galilean Telescope
- Eyepiece is a concave lens.
- Produces erect image.
Magnifying Power:
M = fo / fe
Length of telescope:
fo − fe
Note: Field of view is smaller compared to astronomical and terrestrial telescopes.
Last modified: December 14, 2025
