Answer:
[tex]N = 166.67[/tex]
Explanation:
As we know that the wavelength of light is given by
[tex]\lambda = \frac{c}{f}[/tex]
now we know that
[tex]c = 3\times 10^8 m/s[/tex]
[tex]f = 10^{15} Hz[/tex]
now from above equation we know
[tex]\lambda = \frac{3 \times 10^8}{10^{15}}[/tex]
[tex]\lambda = 3\times 10^{-7} m[/tex]
now the diameter of the bead is given as
[tex]D = 5 \times 10^{-5} m[/tex]
Now total number of wavelengths that travel in the bead is given as
[tex]N = \frac{D}{\lambda}[/tex]
[tex]N = \frac{5 \times 10^{-5}}{3 \times 10^{-7}}[/tex]
[tex]N = 166.67[/tex]
