Physics20745 marksNumerical: uncertainty principle de Brogliede Broglie's hypothesis and its experimental verification
The uncertainty in the position of a particle is equal to the de Broglie wavelength of particle. Calculate the uncertainty in the velocity of the particle in terms of the velocity of the de Broglie wave associated with the particle.
The uncertainty in the position of a particle is equal to the de Broglie wavelength of particle. Calculate the uncertainty in the velocity of the particle in terms of the velocity of the de Broglie wave associated with the particle. [5]
- Uncertainty in position: $\Delta x = \lambda$ (the de Broglie wavelength) - de Broglie wavelength: $\lambda = \dfrac{h}{mv}$, where $m$ = mass, $v$ = particle velocity - Required: $\Delta v$ expressed in terms of the velocity of the de Broglie wave associated with the particle. Note on the targ...