Answer :
Answer:
Approximately [tex]5.56 \times 10^{-7}\; {\rm m}[/tex] in this glass.
Explanation:
The frequency of a wave is the number of periods that this wave completes per unit time.
The speed of a wave is the distance that this wave travels in unit time.
Thus, dividing the speed [tex]v[/tex] of the wave by the frequency [tex]f[/tex] of this wave would give the distance that this wave covers in each period (cycle) of this wave. By definition, the distance that a wave covers in each period is precisely the wavelength of this wave. Therefore, an equation for the wavelength [tex]\lambda[/tex] of a wave would be:
[tex]\begin{aligned}\text{wavelength} &= \frac{\text{speed}}{\text{frequency}}\end{aligned}[/tex].
[tex]\begin{aligned}\lambda &= \frac{v}{f}\end{aligned}[/tex].
Note that [tex]1\; {\rm Hz} = 1\; {\rm s^{-1}}[/tex].
The wavelength of this light in this glass would be:
[tex]\begin{aligned}\lambda &= \frac{v}{f} \\ &= \frac{2.0 \times 10^{8}\; {\rm m\cdot s^{-1}}}{3.6 \times 10^{14}\; {\rm s^{-1}}} \\ &\approx 5.56 \times 10^{-7}\; {\rm m}\end{aligned}[/tex].