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A certain green light has a frequency of 2.45 x 1014 Hz. What is the wavelength of the light?

 Nov 11, 2014

Best Answer 

 #1
avatar+118723 
+5

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  

 Nov 11, 2014
 #1
avatar+118723 
+5
Best Answer

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  

Melody Nov 11, 2014

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