If 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 [2025]

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Solution

Q.
If $λ$ 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 [2025]

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Ans.
(2)

$λ = \frac{h}{m v} = \frac{h}{\sqrt{2 m K}}$

$λ^{2} = \frac{h^{2}}{2 m} (\frac{1}{k})$

$Y = c x^{2}$

Upward facing parabola passing through origin.

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