Consider a variety of colors of visible light (say 400 nm to 700 nm) falling onto a pair of slits.
What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for some visible light?

Respuesta :

Answer:

Explanation:

The relationship between angle and wavelength for maxima and minima in Young's double slit experiment is given by

For constructive interference

[tex]d\sin \theta =m\lambda [/tex]

For Destructive interference

[tex]d\sin \theta =(m+\frac{1}{2})\lambda [/tex]

where [tex]\lambda =wavelength[/tex]

[tex]d=slit\ width[/tex]

m=order of maxima and minima

for second order maxima i.e. [tex]m=2[/tex]

For smallest separation taking [tex]\lambda =400 nm, \theta =90^{\circ} [/tex]

[tex]d\sin 90=2\times 400\times 10^{-9}[/tex]

[tex]d=0.8\times 10^{-6}[/tex]

[tex]d=0.8\mu m[/tex]