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Chapter 16: Q21P (page 663)

Question: If the kinetic energy of an electron is 4.4脳10-18J, what is the speed of the electron? You can use the approximate (non relativistic) equation here.

Short Answer

Expert verified

Answer

The speed of the electron is 3.11脳106m/s.

Step by step solution

01

Identification of the given data  

The given data can be listed below as,

  • The kinetic energy of an electron is, KE=4.4脳10-18J.
02

Significance of kinetic energy

In this problem, the concept of a non-relativistic equation of kinetic energy will be used in order to estimate an electron's speed. The relation between the electron鈥檚 kinetic energy and electron mass is direct linear.

03

Determination the speed of an electron

The relation of kinetic energy of an electron is expressed as,

KE=12mev2

Here,me is the mass of an electron whose value is 9.1脳10-31kgand is the speed of the electron.

Substitute all the known values in the above equation.

4.4脳10-18J=129.1脳10-31kgv2v2=24.4脳10-18J9.1脳10-31kg鈮�9.67032脳1012J/kg1m2/s21J/kgv鈮�3.11脳106m/s

Thus, the speed of the electron is 3.11脳106m/s.

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