Question

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:

• A.
• B.
• C.
• D.

Hint:

The de Broglie wavelength is related to the kinetic energy, and this relationship is depicted graphically as an inverse square root dependence.

Answer 1

The Correct Option is A

The relationship between the de Broglie wavelength \( \lambda \) and kinetic energy \( K \) is given by: \[ \lambda = \frac{h}{\sqrt{2mK}} \] Hence, the graph between \( \lambda \) and \( K \) will be a curve where \( \lambda \) is inversely proportional to the square root of \( K \).