Answer : The wavelength of violet light is, 413 nm
Explanation :
Formula used :
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
[tex]\nu[/tex] = frequency of violet light = [tex]7.26\times 10^{14}Hz=7.26\times 10^{14}s^{-1}[/tex]
As we know that, [tex]Hz=s^{-1}[/tex]
[tex]\lambda[/tex] = wavelength of violet light
c = speed of light = [tex]3.00\times 10^8m/s[/tex]
Now put all the given values in the above formula, we get:
[tex]7.26\times 10^{14}s^{-1}=\frac{3.00\times 10^8m/s}{\lambda}[/tex]
[tex]\lambda=\frac{3.00\times 10^8m/s}{7.26\times 10^{14}s^{-1}}[/tex]
[tex]\lambda=4.13\times 10^{-7}m=4.13\times 10^{-7}\times 10^9nm=413nm[/tex]
conversion used : [tex]1m=10^9nm[/tex]
Therefore, the wavelength of violet light is, 413 nm
