Chapter 4, Problem 57AP

a)

Interpretation Introduction

Interpretation: The smallest distance in that

  $1.59\times {10}^{-19}\text{ J}$ kinetic energy lies is to be determined.

Concept introduction: The expression to calculate kinetic energy is as follows:

  $E=\frac{1}{2}m{v}^2$

Rearrange above equation to calculate velocity of electron as follows:

  $v=\sqrt{\frac{2E}{m}}$

Where,

• $E$ is kinetic energy of electron.
• $m$ is mass of electron.

(b)

Interpretation Introduction

Interpretation: The smallest distance in which kinetic energy of helium atom lies is to be determined.

Concept introduction: The expression to calculate kinetic energy is as follows:

  $E=\frac{1}{2}m{v}^2$

Rearrange above equation to calculate velocity of electron as follows:

  $v=\sqrt{\frac{2E}{m}}$

Where,

• $E$ is kinetic energy.
• $m$ is mass.