Answer:
The two possible thicknesses of the soap bubble is 129 nm and 389 nm.
Explanation:
Given that,
Wavelength = 690 nm
Refractive index = 1.33
We need to calculate the two possible thicknesses of the soap bubble
Using formula of thickness
[tex]t=\dfrac{(m+\dfrac{1}{2})\lambda}{2n}[/tex]
For m = 0,
Put the value into the formula
[tex]t=\dfrac{\dfrac{690\times10^{-9}}{2}}{2\times1.33}[/tex]
[tex]t=129\times10^{-9}\ m[/tex]
[tex]t=129\ nm[/tex]
For m=1,
Put the value into the formula
[tex]t=\dfrac{\dfrac{3\times690\times10^{-9}}{2}}{2\times1.33}[/tex]
[tex]t=389\times10^{-9}\ m[/tex]
[tex]t=389\ nm[/tex]
Hence, The two possible thicknesses of the soap bubble is 129 nm and 389 nm.
