In a compound microscope, the focal lengths of two lenses are 1.5 cm and 6.25 cm

Question

In a compound microscope, the focal lengths of two lenses are 1.5 cm and 6.25 cm an object is placed at 2 cm form objective and the final image is formed at 25 cm from eye lens. The distance between the two lenses is

Options:

A . 6.00 cm

B . 7.75 cm

C . 9.25 cm

D . 11.00 cm

Answer: Option D
:
D
It is given that

f_{0} = 1.5 c m, f_{e} = 6.25 c m, u_{0} = 2 c m

When final image is formed at least distance of distinct vision, length of the tube

L_{D} = \frac{u_{0} f_{0}}{u_{0} - f_{0}} + \frac{f_{e} D}{f_{e} + D}

\Rightarrow L_{D} = \frac{2 \times 1.5}{2 - 1.5} + \frac{6.25 \times 25}{6.25 + 25} = 11 c m .

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