Answer:
The thickness of the oil slick is [tex]1.95\times10^{-7}\ m[/tex]
Explanation:
Given that,
Index of refraction = 1.28
Wave length = 500 nm
Order m = 1
We need to calculate the thickness of oil slick
Using formula of thickness
[tex]2nt= m\lambda[/tex]
Where, n = Index of refraction
t = thickness
[tex]\lambda[/tex] = wavelength
Put the value into the formula
[tex]2\times1.28 \times t=1\times\times500\times10^{-9}[/tex]
[tex]t = \dfrac{1\times\times500\times10^{-9}}{2\times1.28 }[/tex]
[tex]t=1.95\times10^{-7}\ m[/tex]
Hence, The thickness of the oil slick is [tex]1.95\times10^{-7}\ m[/tex]
