The focal length of the objective of a compound microscope if f_o and its distance from the eyepiece is L. The object is placed at a distance u from the objective. For proper working of the instrument,
(a) L < u
(b) L > u
(c) f_o < L < 2f_o
(d) L > 2f_o

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Solution

(b) L > u
(d) L > 2f₀

In a compound microscope, the objective lens of a short focal length, f_o, is used. The focal length of the objective lens is less than the focal length of the eyepiece, f_e, .The object is placed at a distance slightly greater than its focal length. The real, inverted image of the object forms somewhere in front of the eyepiece at a distance less than its focal length. This image acts as its object and the final image forms in between length, L, of the microscope. Please check and correct.
∴ L > f_o+ f_e> 2f_o
Also,
L > u

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The focal length of the objective of a compound microscope if fo and its distance from the eyepiece is L. The object is placed at a distance u from the objective. For proper working of the instrument, (a) L < u (b) L > u (c) fo < L < 2fo (d) L > 2fo

The focal length of the objective of a compound microscope if f_o and its distance from the eyepiece is L. The object is placed at a distance u from the objective. For proper working of the instrument,
(a) L < u
(b) L > u
(c) f_o < L < 2f_o
(d) L > 2f_o