Answer:[tex]\lambda=3(10)^{11}nm[/tex]
Explanation:
The speed of light (electromagnetic wave) is given by the following formula:
[tex]c=f.\lambda[/tex] (1)
Where:
[tex]c=3(10)^{8}\frac{m}{s}[/tex] is the speed of light
[tex]f=1(10)^{6}Hz[/tex] the frequency
[tex]\lambda[/tex] the wavelength
So, we have to find [tex]\lambda[/tex] from (1):
[tex]\lambda=\frac{c}{f}[/tex] (2)
[tex]\lambda=\frac{3(10)^{8}\frac{m}{s}}{1(10)^{6}Hz}[/tex]
[tex]\lambda=300m[/tex]
But we are asked to find the wavelength in nm. If we know [tex]1nm=(10)^{-9}m[/tex], then:
[tex]\lambda=300m.\frac{1nm}{(10)^{-9}m}=3(10)^{11}nm[/tex]
Finally:
[tex]\lambda=3(10)^{11}nm[/tex]
