A certain green light has a frequency of 2.45 x 1014 Hz. What is the wavelength of the light?
I don't know formulas so I will have to work it out using logic and rates.
hz=cycles /second
wavelength=metres/cycle
speed of light is 299 792 458 m / s (according to some clever person on Google)
m/cycle=m/s*s/cycle (the seconds cancel out)
m/cycle= 299 792 458 divided by 2.45 x 10^14
$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}} = {\mathtt{0.000\: \!001\: \!223\: \!642\: \!685\: \!7}}$$ this is in metres
$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{9}}} = {\mathtt{1\,223.642\: \!685\: \!714\: \!285\: \!714\: \!3}}$$ this is in nanometres
I think that is correct
I don't know formulas so I will have to work it out using logic and rates.
hz=cycles /second
wavelength=metres/cycle
speed of light is 299 792 458 m / s (according to some clever person on Google)
m/cycle=m/s*s/cycle (the seconds cancel out)
m/cycle= 299 792 458 divided by 2.45 x 10^14
$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}} = {\mathtt{0.000\: \!001\: \!223\: \!642\: \!685\: \!7}}$$ this is in metres
$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{9}}} = {\mathtt{1\,223.642\: \!685\: \!714\: \!285\: \!714\: \!3}}$$ this is in nanometres
I think that is correct