The kinetic energy of an electron is tripled, | vedclass

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(D) The relation between kinetic energy $K$ and momentum $P$ is given by $P = \sqrt{2mK}$.If the kinetic energy is tripled,the new kinetic energy $K'

Vedclass · Accepted Answer

$1/\sqrt{3}$

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(D) The relation between kinetic energy $K$ and momentum $P$ is given by $P = \sqrt{2mK}$.If the kinetic energy is tripled,the new kinetic energy $K' = 3K$.The new momentum $P'$ is given by $P' = \sqrt{2m(3K)} = \sqrt{3} \sqrt{2mK} = \sqrt{3}P$.The de-Broglie wavelength $\lambda$ is given by $\lambda = h/P$.Therefore,the new wavelength $\lambda'$ is $\lambda' = h/P' = h/(\sqrt{3}P) = \lambda / \sqrt{3}$.Thus,the wavelength changes by a factor of $1/\sqrt{3}$.

The kinetic energy of an electron is tripled,then the de-Broglie wavelength associated with it will change by a factor of:

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