Question

in a compound microscope the sine value of half aperture angle multiplied by refractive index of the medium (the space between front lens and cover slip) gives the
a.resolving power
b.resolution
c.numerical aperture
d.magnification​

Answer 1

In a compound microscope the sine value of half aperture angle multiplied by refractive index of the medium (the space between front lens and cover slip) gives the NUMERICAL APERTURE.

So, expression for numerical aperture w.r.t the values in the given image:

$\boxed{ \sf{N.A. = \sin( \alpha ) \times \mu}}$

• The angle $\alpha$ is also called the acceptance-cone angle.

• The value of numerical aperture signifies the cone of light that can enter through the objective lens of the microscope.

• Higher N.A. we signify that a bigger cone of light can enter through the oil immersion objective lens of the microscope.

• With higher numerical aperture , better resolution of specimen can be observed.

Hope It Helps.