The SI unit of length is the meter, which is defined as thelength equal to 1,650

Question

The SI unit of length is the meter, which is defined as thelength equal to 1,650,763.73 wavelengths of the light emmitted by aparticular energy transition in krypton atoms. Calculate thefrequency of the light to three significant figures. I know that 3.0*10^8 m/s=lambda * nu. What I don't understandis what to do with the wavelengths and how to convret it intometers. Thanks The SI unit of length is the meter, which is defined as thelength equal to 1,650,763.73 wavelengths of the light emmitted by aparticular energy transition in krypton atoms. Calculate thefrequency of the light to three significant figures. I know that 3.0*10^8 m/s=lambda * nu. What I don't understandis what to do with the wavelengths and how to convret it intometers. Thanks

Explanation / Answer

Hello, This is relatively simple concept but with tough numbers. The wave length is just an arbitrary unit. So,we know that 1 m = 1,650,763.73 wavelengths. Let's put it the other side, Yes, 1 wavelength = 1/1,650,763.73 m That's it. So, I will do the complete sum as well. v = f x v = 3.0*10^8 m/s = 1/1,650,763.73 m f = v/ f = (3.0*10^8 m/s)/(1/1,650,763.73 m) The two m signs cancel off and 1,650,763.73 comes up. So, f = 3.0*10^8 * 1,650,763.73           =4.95229119 ×1014 s-1              = 4.95229119 × 1014Hz. That's it. Hope it helps.

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