With light of wavelength 550 nm and a lens with a numerical aperture of 0.47, what is the minimum resolvable separation of two objects (micrometers)?

Respuesta :

Answer:

The minimum resolvable separation of two objects is 0.585 μm.

Explanation:

Given that,

Wavelength = 550 nm

Aperture = 0.47

We need to calculate the minimum resolvable separation of two objects

Using formula of the minimum resolvable separation

[tex]x_{m}=\dfrac{\lambda}{2n\sin\theta}[/tex]

Where, [tex]\lambda[/tex] = wavelength

Put the value into the formula

[tex]x_{m}=\dfrac{550\times10^{-9}}{2\times0.47}[/tex]

[tex]x_{m}=5.85\times10^{-7}\ m[/tex]

[tex]x_{m}=0.585\times10^{-6}\ m[/tex]

[tex]x_{m}=0.585\ \mu m[/tex]

Hence, The minimum resolvable separation of two objects is 0.585 μm.

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE