91影视

The distance between the identical places between two successive waves is determined when the wavelength of a wave is measured.

The wavelength in any medium can be given as,

${\text{位}}_{\mathrm{n}}=\frac{\mathrm{位}}{\mathrm{n}}$鈥︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌�..(1)

Here, ${}^{\mathrm{n}}$is the refractive index of the material, ${{}^{\mathrm{位}}}_{\mathrm{n}}$is the wavelength of the wave in the medium, and ${}^{\mathrm{位}}$the wavelength in the vacuum.

Using the above formula we can define that,

$\frac{d_c}{{位}_{CG}}=\frac{d_w}{{位}_w}$鈥︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌�.(2)

Here, ${}^{d_c}$is the thickness of the crown glass, localid="1654059823827" ${}^{{\mathrm{d}}_{\mathrm{w}}}$is the thickness of water, ${}^{{位}_{CG}}$is the wavelength of the light in the crown glass, and ${}^{{\mathrm{位}}_{\mathrm{w}}}$the wavelength of light in water.

Therefore, rearranging the equation (2) will give,

$\frac{{\mathrm{d}}_{\mathrm{c}}}{{\mathrm{d}}_{\mathrm{w}}}=\frac{{\mathrm{位}}_{\mathrm{CG}}}{{\mathrm{位}}_{\mathrm{w}}}$鈥︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌�(3)

Using equations (1) and (3), we can write,

$$\begin{gathered} \frac{d_c}{d_w}=\frac{n_w}{n_c} \\ =\frac{1.33}{1.52} \\ =0.877 \end{gathered}$$

Therefore, the ratio is${}^{0.877}$.