Answer : The frequency of light is [tex]3.843\times 10^{14}s^-[/tex].
Solution : Given,
wavelength = [tex]7.80\times 10^2nm=7.80\times 10^2\times 10^{-9}m=7.80\times 10^{-7}m[/tex] [tex](1nm=10^{-9}m)[/tex]
Speed of light = [tex]2.998\times 10^{8}m/s[/tex]
Formula used :
[tex]\nu=\frac{c}{\lambda}[/tex]
[tex]\nu[/tex] = frequency
[tex]\lambda[/tex] = wavelength
c = speed of light
Now put all the given values in above formula, we get
[tex]\nu=\frac{2.998\times 10^8m/s}{7.80\times 10^{-7}m}=0.3843\times 10^{15}s^-=3.843\times 10^{14}s^-[/tex]
Therefore, the frequency of light is [tex]3.843\times 10^{14}s^-[/tex].
