What is the frequency of gamma rays that have a wavelength of #6.00 times 10^-12# #m#?

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Answer 1 · 2017-03-09T13:52:07

#nu=c/lambda..........=5xx10^19*s^-1#.

#c=nuxxlambda#..............where #c=3.0xx10^8*ms^-1#, i.e. the speed of light, and #lambda="wavelength"#, and #nu="frequency"#.

And thus #nu=c/lambda#.

WITHOUT considering the numbers we can immediately see that, DIMENSIONALLY, this expression is consistent, i.e. we get units for #"frequency"# of:

#nu=(cancelm*s^-1)/cancelm=s^-1#, as is required for a frequency.

So now we put in the numbers,

#nu=(3xx10^8*cancelm*s^-1)/(6xx10^-12*cancelm)=5.0xx10^19*s^-1#.

This is a very high energy frequency.