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A scientist notes a pretty oil slick on the surface of a body of water. She aims her spectrometer at a spot on the oil slick to measure the wavelength that is being most strongly reflected. The oil index is 1.2, and she finds maximum reflection at a wavelength of 750 nm. what is the minimum thickness t of the oil stick at the spot?

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aliakbar921853

Answer:  t=156.25 nm

Explanation:

For finding the minimum thickness t of the oil stick when maximum reflection occurs,

It is given by formula

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

Here we need to find that minimum thickness so put m= 0,

Also, λ= 750 nm

n= 1.2

So putting the values we get

2 *(1.2)* t = (0 + [tex]\frac{1}{2}[/tex]) * 750 nm

Or t= [tex]\frac{1}{2*2*1.2} * 750[/tex]

t= 156.25 nm which is the minimum thickness t of the oil stick at the spot

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