A radio wave has a frequency of 8.01 × 108 s−1. What is its wavelength, in meters?

Guest Aug 1, 2014

#1**+8 **

speed = wavelength*frequency

wavelength = speed / frequency

wavelength = 3.0*10^8 m/s / 8.01*10^8 s^-1= 0.3745318352059925 = **3.75*10^-1.**

AzizHusain
Aug 1, 2014

#1**+8 **

Best Answer

speed = wavelength*frequency

wavelength = speed / frequency

wavelength = 3.0*10^8 m/s / 8.01*10^8 s^-1= 0.3745318352059925 = **3.75*10^-1.**

AzizHusain
Aug 1, 2014

#2**+5 **

I always use the units to help me with 'rates' questions.

The speed of light in a vacuum is 299 792 458 m / s I think radio waves travel at the same speed.

The frequency of the wave is 8.01*10^8 wavelengths/s. This is the same as 1s/8.01*10^8 wavelengths

You want to know metres/wavelength

$$\frac{299792458m}{\not{s}}\times \frac{1\not{s}}{8.01*10^8\;wavelength}=\frac{299792458m}{8.01*10^8\;wavelength}$$

The seconds cancel out !

$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{8.01}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{8}}}\right)}} = {\mathtt{0.374\: \!272\: \!731\: \!585\: \!518\: \!1}}$$

$$Wavelength \;\approx 0.37 m$$

Melody
Aug 2, 2014