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.

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