what is the least non zero thickness of a piece of glass with n=1.5, for which destructive interference of rod (650 nm) light in air can take place by reflection?

Respuesta :

Answer:

t = 108.33  nm

Explanation:

we know that for destructive interference we have following relation

[tex]2t =(m+\frac{1}{2}) \frac{\lambda}{n}[/tex]

for minimum thickness m =0

therefore we have

[tex]t = \frac{lambda}{4n}[/tex]

where [tex]\lambda = 650 nm[/tex]

refrective index n = 1.5

putting all value to get required value of thickness

[tex]t = \frac{650}{4*1.5}[/tex]

t = 108.33  nm

Answer:

108.33 nm

Explanation:

For destructive interference the thickness [tex]2t=(m+\frac{1}{2})\frac{\lambda }{n}[/tex] , for minimum m=0

So  [tex]2t=\frac{\lambda }{2n}[/tex]

[tex]t=\frac{\lambda }{4n}[/tex]

Here [tex]\lambda[/tex] is wavelength and n is order of index

So [tex]=\frac{\lambda }{4n}=\frac{650}{4\times 1.5}=108.333nm[/tex]

So the least non zero thickness for destructive interference is 108.33 nm

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