Chapter 7, Problem 7.46QE

(a)

Interpretation Introduction

Interpretation:

The de Broglie wavelength of the sprinter with mass of $68\text{ kg}$ and velocity $10.0\text{ m/s}$ has to be determined.

Concept Introduction:

de Broglie established a relation for particles of matter that they also can behave as a wave and has a wavelength. The wavelength of the particle is inversely related to its mass. The smaller the mass, the larger will be its wavelength.

The expression given by the de Broglie is as follows:

  $\text{λ}=\frac{h}{mv}$        (1)

Here,

$\text{λ}$ is a wavelength of particle.

$h$ is a Plank’s constant.

$m$ is a mass of particle.

$v$ is a velocity of mass.

(b)

Interpretation Introduction

Interpretation:

The de Broglie wavelength of the ball with mass of $50.0\text{ g}$ and speed $44.7\text{ m/s}$ has to be determined.

Concept Introduction:

Refer to part (a).

(c)

Interpretation Introduction

Interpretation:

The de Broglie wavelength of the electron with velocity $1.2\times {10}^5\text{ m/s}$ has to be determined.

Concept Introduction:

Refer to part (a).