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#optical instrument

2 public questions tagged with this topic.

In a compound microscope, what role does the eyepiece play in the final image formation?

**Compound microscope** M = m_o × M_e, objective magnification m_o = v_o/u_o ≈ L/f_o, L tube length, eyepiece M_e = 1+D/f_e (image at D) or D/f_e (infinity). Objective forms real inverted magnified image at focal plane of eyepiece, eyepiece acts as simple microscope magnifying it. The eyepiece in a compound microscope acts as a magnifying lens, taking the real, inverted image formed by the objective and producing a larger, virtual image for the observer. It enhances the angular size of the intermediate image, making it appear magnified without altering its orientation. Substituting values give

Ref: NCERT > Physics Book > Ray Optics > Optical Instruments - Simple and Compound Microscope

A simple microscope with a focal length of \( 6 \, \text{cm} \) forms an image at infinity. What is the magnification?

**Convex lens image formation**: object beyond 2F (u>2f) real inverted diminished between F and 2F, at 2F same size at 2F, between F and 2F magnified beyond 2F, at F image at infinity, within F virtual erect magnified same side. For f=15 cm, u=30 cm=2f, m = v/u =30/30=1? Actually v=30 cm, m=-1, same size inverted. Magnification at infinity: m = (D/f) . D = 25 cm , f = 6 cm . m = (25/6) ≈ 4.167 . Substituting values gives 4.17, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v - 1/u (lens) or 1/f = 1/v + 1/u

Ref: NCERT > Physics Book > Ray Optics > Thin Lenses - Lens Formula, Magnification and Power