Answer: [tex]5.878\times 10^{-7}m[/tex]
Explanation:
The relationship between wavelength and frequency of the wave follows the equation:
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
[tex]\nu[/tex] = frequency of the wave =[tex]5.10\times 10^{14}Hz[/tex]
c = speed of light =[tex]3\times 10^8ms^{-1}[/tex]
[tex]\lambda [/tex] = wavelength of the wave = ?
Putting in the values we get:
[tex]5.10\times 10^{14}=\frac{3\times 10^8}{\lambda}[/tex]
[tex]{\lambda}=5.878\times 10^{-7}m[/tex]
Thus, wavelength of the wave is [tex]5.878\times 10^{-7}m[/tex]
