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**Energy and frequency E=hv**

I have a simple question that is that is E=3/2x K

_{b}x T, where k

_{b}is boltzmann constant.

I understand that this is involve 3 degree of freedom, but as i was reading through the forum, i come across 1 equation stating E=k

_{b}x T. So is it true? and what application would this apply to?

And with regards to quantum physics, since kinetic energy= 1/2MV

^{2}, and =3/2k

_{b}T,

yet, λ=h/p=h/mv, where h is planck constand and p is momentum, and λ is wavelength.

Since λ=V/F, where v is velocity and F is frequency,

then this would mean that V/F=h/mv, and I would get hxF=mV

^{2},

and since E=hxv, where E is energy, h is planck constant, and v is velocity,

would that mean that E=mV

^{2}which I don't understand as I thought E was suppose to be 1/2mv

^{2}, yet now the 1/2 has disappear.

Thanks a lot for the help, a bit confused with all the energy, frequency and wavelength.

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