CBSE · Class 12 · Physics · Dual Nature of Radiation and MatterWhich of the following particles has the shortest de Broglie wavelength for a given kinetic energy?
The de Broglie wavelength is given by $\lambda = \frac{h}{p} = \frac{h}{\sqrt{2mK}}$, where $m$ is the mass and $K$ is the kinetic energy. For a given kinetic energy, wavelength is inversely proportional to the square root of the mass ($\lambda \propto \frac{1}{\sqrt{m}}$). Among the given options, the alpha particle has the maximum mass, hence it has the shortest de Broglie wavelength.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Dual Nature of Radiation and Matter.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Dual Nature of Radiation and Matter.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Dual Nature of Radiation and Matter.
Correct choice. Refer to the step-by-step verified solution guidelines above for details.