The concept used to solve this problem is based on wavelength.
Initially, the value of the wavelength of visible light can be calculated by using the relationship between wavelength, thickness, and refractive index. Later, the value of the wavelength of visible light can be calculated by using the relationship between wavelength, thickness, and refractive index.
The expression for the wavelength in terms of thickness and refractive index is given below:
Here, is the thickness of the soap bubble,
is the refractive index of water,
is the integer, and
is the wavelength of light.
The range of visible light is.
(a.1)
The expression for wavelength is given below:
Substitute for
,
for
and
for
and rearrange to find
.
(a.2)
The expression for the wavelength is given below:
Substitute for
,
for
and
for
and rearrange to find
.
(a.3)
The expression for the wavelength is given below:
Substitute for
,
for
and
for
and rearrange to find
.
Therefore, from section a.1, a.2, a.3, the wavelength of the visible light strongly reflected from the soap bubble is .
(b.1)
The expression for the wavelength is as follows:
Substitute for
,
for
and
for
and rearrange to find
.
(b.2)
The expression for the wavelength is given below:
Substitute for
,
for
and
for
and rearrange to find
.
(b.3)
The expression for the wavelength is given below:
Substitute for
,
for
and
for
and rearrange to find
.
Therefore, from sections b.1, b.2, b.3, the wavelength of the visible light strongly reflected from the soap bubble is .
The wavelength of the visible light, which is strongly reflected, is.
The wavelength of the visible light, which is strongly reflected, is.
The walls of a soap bubble have about the same index of refraction as that of...