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prove that energy of particle is inversely proportional to wavelength of corresponding wave derive it give explanation in detail for this statement​

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ANSWER:

\frac{1}{2}  \times m {v}^{2}  is \: kinetic \: energy \:  {k}\\ momentum \: p \: is \: mv \\ so \: k =  \frac{ {p}^{2} }{2m }  \\ p =  \sqrt{2km }  \\ now \: wavelength =  \frac{h}{p}  \\  \:  \:  \:wavelength    =   \frac{h}{ \sqrt{2km} } \\ therefore \: energy \: is \: inversely \: proportional \: to \: wavelength



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