A radio wave has a frequency of 8.01 × 108 s−1. What is its wavelength, in meters?
+4473 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.
+4473 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.
+118608
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 !
$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{8.01}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{8}}}\right)}} = {\mathtt{0.374\: \!272\: \!731\: \!585\: \!518\: \!1}}$$
$$Wavelength \;\approx 0.37 m$$
