If \(\lambda\) and \(K\) are de Broglie wavelength and kinetic energy, respectively, of a particle with…

If \(\lambda\) and \(K\) are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be




Solution

$\begin{aligned}
& \lambda=\frac{\mathrm{h}}{\mathrm{mv}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mK}}} \\ & \lambda^2=\frac{\mathrm{h}^2}{2 \mathrm{~m}}\left(\frac{1}{\mathrm{k}}\right) \\ & \mathrm{Y}=\mathrm{cx}^2
\end{aligned}$
Upward facing parabola passing through origin.

Asked in: JEE Main 2025 (29 Jan Shift 1)

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