Question

What is the speed of an electromagnetic wave with a frequency of 1.33x10^17Hz and a wavelength of 2.25nm?

Answer 1

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 2

Answer : The speed of electromagnetic wave is $2.99\times 10^{8}m/s$

Explanation : Given,

Frequency of wave = $1.33\times 10^{17}Hz=1.33\times 10^{17}s^{-1}$

Wavelength of wave = $2.25nm=2.25\times 10^{-9}m$

Formula used :

$\nu=\frac{c}{\lambda}$

where,

$\nu$ = frequency of light

$\lambda$ = wavelength of light

c = speed of electromagnetic wave = ?

Now put all the given values in the above formula, we get:

$1.33\times 10^{17}s^{-1}=\frac{c}{2.25\times 10^{-9}m}$

$c=(1.33\times 10^{17}s^{-1})\times (2.25\times 10^{-9}m)$

$c=2.99\times 10^{8}m/s$

Therefore, the speed of electromagnetic wave is $2.99\times 10^{8}m/s$