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An electron starts from rest in a vacuum, in a region of strong electric field. The electron moves through a potential difference of 35V.

(a) What is the kinetic energy of the electron in electron volts (eV)?

(b) What would happen if the particle were a proton?

Short Answer

Expert verified
  1. The kinetic energy of the electron in electron volts is 5.61018鈥塭痴.
  2. The kinetic energy of the proton in electron volts is 5.61018鈥塭痴.

Step by step solution

01

Identification of the given data

The given data can be listed below as,

  • The value of potential difference is, V=35鈥塚.
02

Significance of kinetic energy

In this question, the kinetic energy of the charged particle (electron and proton) can be obtained with the help of the electric charge of the particle and potential difference. The relation between the respective kinetic energy and potential difference is direct linear.

03

(a) Determination the kinetic energy of electron  

The relation ofkinetic energy of electronis expressed as,

(KE)e=qeV

Here, (KE)eis the kinetic energy of the electron, qe represents the magnitude of the charge on an electron whose value is 1.61019鈥塁.

Substitute all the known values in the above equation.

(KE)e=(1.61019鈥塁)(35鈥塚)=(5.61018鈥塁V)1鈥塭痴1鈥塁V=5.61018鈥塭痴

Thus, the kinetic energy of the electron is 5.61018鈥塭痴.

04

(b) Determination the kinetic energy of proton

The relation ofkinetic energy of protonis expressed as,

(KE)p=qpV

Here,(KE)p is the kinetic energy of the proton, qp represents the magnitude of the charge on a proton whose value is 1.61019鈥塁.

Substitute all the known values in the above equation.

(KE)p=(1.61019鈥塁)(35鈥塚)=(5.61018鈥塁V)1鈥塭痴1鈥塁V=5.61018鈥塭痴

Thus, the kinetic energy of the proton is 5.61018鈥塭痴.

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