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An electron is continuously accelerated in a vacuum tube by applying a potential difference. If the de Broglie wavelength is decreased by 10%, the change in kinetic energy of the electron is
An electron is continuously accelerated in a vacuum tube by applying a potential difference. If the de Broglie wavelength is decreased by 10%, the change in kinetic energy of the electron is




![[\lambda =\frac{h}{\sqrt{2mK.E}}=\frac{h}{\sqrt{2m}}\left ( K.E \right )^{-\frac{1}{2}}]](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latex_lambda_frach_sqrt2mk.e_frach_sqrt2m_leftk.e_right-_frac12.jpg)
![[\left (\frac{d\lambda}{\lambda} \right ) =\frac{-1}{2}}\left (\frac{dK.E.}{K.E} \right )]](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latex_left_fracd_lambda_lambda_right_frac-12_left_fracdk.e.k.e_right.jpg)
![[\left (\frac{dK.E.}{K.E.} \right )\times 100 =2\left (\frac{d\lambda.}{\lambda} \right )\times 100=20%]](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latex_left_fracdk.e.k.e._right_times1002_left_fracd_lambda._lambda_right_times10020.jpg)
