Question

The magnifying power of a compound microscope does not depend upon -

• A. the focal length of the eyepiece.
• B. the aperture of the objective lens.
• C. tube length of the compound microscope.
• D. None of the above

Answer 1

The correct option is B the aperture of the objective lens.

We know that,

$\left(i\right)$ Magnification of the compound microscope when the final image is formed at the least distance of distinct vision is given by,

$m=\frac{v_o}{|u_o|}(1+\frac{D}{f_e})$

$\left(ii\right)$ Magnification of the compound microscope when the final image is formed at the infinity is given by,

$m=\frac{v_o}{|u_o|}\left(\frac{D}{f_e}\right)$

So, from $\left(i\right)$ and $\left(ii\right)$, we can see that, the magnifying power depends on -

$\left(a\right)$ the focal length of the eyepiece.

$\left(b\right)$ tube length of the compound microscope as $L=|v_o|+|u_e|$.

But it does not depend on the aperture of the objective lens.

Hence, option $\left(B\right)$ is the correct answer.