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The mass and wavelength of a moving electron are 9.0 x 10(^{-31}) kg and…

(a) The mass and wavelength of a moving electron are 9.0 x 10(^{-31}) kg and 1.0 x 10(^{-10})m respectively. Calculate the kinetic energy of the electron. [ h = 6.6 x 10(^{-34}) Js]

Explanation

(lambda = frac{h}{p} = frac{h}{mv})

V = (frac{h}{m_2})

Electron kitenic energy = (frac{1}{2} MV^2 = frac{h^2}{2m lambda^2})

= (frac{(6.6 times 10^{-34})^2}{2 times 9.0 times 10^{-37} times 1.0 times 10^{-20}}) = 2.39 x 10(^{-17})J