Wavelength = 2.25nm = 2.25 x 10^(-9)m
Frequency = 1.33 x 10^17Hz
Speed = 2.25 x 10^(-9) x 1.33 x 10^17 = 2.99 x 10^8m/s
So the answer is: 2.99 x 10^8m/s
Answer : The speed of electromagnetic wave is [tex]2.99\times 10^{8}m/s[/tex]
Explanation : Given,
Frequency of wave = [tex]1.33\times 10^{17}Hz=1.33\times 10^{17}s^{-1}[/tex]
Wavelength of wave = [tex]2.25nm=2.25\times 10^{-9}m[/tex]
Formula used :
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
[tex]\nu[/tex] = frequency of light
[tex]\lambda[/tex] = wavelength of light
c = speed of electromagnetic wave = ?
Now put all the given values in the above formula, we get:
[tex]1.33\times 10^{17}s^{-1}=\frac{c}{2.25\times 10^{-9}m}[/tex]
[tex]c=(1.33\times 10^{17}s^{-1})\times (2.25\times 10^{-9}m)[/tex]
[tex]c=2.99\times 10^{8}m/s[/tex]
Therefore, the speed of electromagnetic wave is [tex]2.99\times 10^{8}m/s[/tex]
