Figure shows a small particle in a box which bounces back

Last updated: 6/12/2023

Figure shows a small particle in a box which bounces back and forth at constant speed The reflections of particle from th wall creates a standing wave analogous to standing wave on a string tied at both ends Since a standing wave confined to region can have only selected wavelengths momentum of the particle is quantized We can safely assume that such particle only has kinetic energy This energy must also be quantized The momentum of particle in nth mode of standing wave is nh 2L Particle s energy in nth state is h n 8mL2 Matter wave in this case will be electromagnetic in nature None of these m L V 4