Select the expression equal to the square root of 48
2 answers:
Hey! :)
So here we need to simplify the square root. The easiest way to do this is split the number into it's lowest common factors.
Now we can notice that there are four 2's. This means that we can write this as
And can be simplified into 4
So our answer is
*I want to note here that this could be the only answer anyway, because the rest of the answers aren't simplified.
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Pls. see attachment.
Answer:
56.39 nm
Step-by-step explanation:
In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,
where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...
Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.
In order to have its longest constructive reflection at the red end (700 nm)
Here we take m=0.
Similarly for the constructive reflection at the blue end (400 nm)
Hence the thickness difference should be