Answer:
[tex]1.07004\times 10^{-7}\ m[/tex]
Explanation:
[tex]n_s[/tex] = Refractive index of bubble = 1.33
f = Frequency of light = [tex]5.27\times 10^{14}\ Hz[/tex]
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
The wavelength of light is given by
[tex]\lambda=\dfrac{2n_st}{m-\dfrac{1}{2}}[/tex]
Wavelength is also given by
[tex]\lambda=\dfrac{c}{f}[/tex]
m = 1 for minimum thickness
[tex]\dfrac{c}{f}=\dfrac{2n_st}{m-\dfrac{1}{2}}\\\Rightarrow t=\dfrac{m-\dfrac{1}{2}c}{2n_sf}\\\Rightarrow t=\dfrac{(1-\dfrac{1}{2})\times 3\times 10^8}{2\times 1.33\times 5.27\times 10^{14}}\\\Rightarrow t=1.07004\times 10^{-7}\ m[/tex]
The minimum thickness is [tex]1.07004\times 10^{-7}\ m[/tex]
