A light wave has a frequency of 5 1014 Hz and a speed of 3 108 m/s. Use the wavelength equation to calculate the wavelength.
Formula:
Wavelength = speed ÷ frequency
+33665 1Hz is one cycle per second, which, in this case, means one complete wavelength per second. So:
$${\mathtt{wavelength}} = {\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{8}}}}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}} \Rightarrow {\mathtt{wavelength}} = {\mathtt{0.000\: \!000\: \!6}}$$ metres
or 600 nanometres (1 nanometre = 10-9 metres)
By hand: 3*108/(5*1014) can be written as 3*108*10-14/5 = 3*108-14/5 = 3*10-6/5 = 0.6*10-6 = 600*10-3*10-6 = 600*10-3-6 = 600*10-9 m, or 600 nanometres.
+33665 1Hz is one cycle per second, which, in this case, means one complete wavelength per second. So:
$${\mathtt{wavelength}} = {\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{8}}}}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}} \Rightarrow {\mathtt{wavelength}} = {\mathtt{0.000\: \!000\: \!6}}$$ metres
or 600 nanometres (1 nanometre = 10-9 metres)
By hand: 3*108/(5*1014) can be written as 3*108*10-14/5 = 3*108-14/5 = 3*10-6/5 = 0.6*10-6 = 600*10-3*10-6 = 600*10-3-6 = 600*10-9 m, or 600 nanometres.
