If the kinetic energy of a free electron doubles. Its deBroglie wavelength changes by the factor

If the kinetic energy of a free electron doubles. Its deBroglie wavelength changes by the factor
  1. $\frac{1}{2}$
  2. 2
  3. $\frac{1}{\sqrt{2}}$
  4. $\sqrt{2}$

Solution

$\lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{Km}}}$

Asked in: JEE Main 2005

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