Chapter 38, Problem 12A

To determine

Whether the wavelength of the particle increases or decreases due to increase in the speed of the particle.

Explanation of Solution

Introduction:

The momentum of a particle is the effect of the speed of the particle. It varies with the variation in the speed of the particle. The wavelength of the particle also varies due to variation in the momentum.

The wavelength of the particle associated varies due to variation in the momentum. The wavelength of the particle is inversely proportional to the momentum of the particle so is the speed of the particle. The heavier the particle less is the speed of the particle and lighter the particle more is the speed.

The wavelength of the particle decrease with increase in the speed of the particle and increase with decrease in the speed of the particle.

Conclusion:

The wavelength of the particle decrease with increase in the speed of the particle because the speed changes due to the momentum of the particle.