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Chapter 21: Q49P (page 628)

A neutron consists of one 鈥渦p鈥� quark of charge +2e/3and two 鈥渄own鈥� quarks each having charge鈭�e/3. If we assume that the down quarks are2.6脳10鈭�15mapart inside the neutron, what is the magnitude of the electrostatic force between them?

Short Answer

Expert verified

The magnitude of electrostatic force between them is3.8N

Step by step solution

01

The given data

  1. A neutron consists of one 鈥渦p鈥� quark of charge+2e/3 and two 鈥渄own鈥� quarks of charge鈭�e/3
  2. Distance between the two down quarks,d=2.6脳10鈭�15m
02

Understanding the concept of Coulomb’s law

Using the concept of Coulomb's law, we can find the magnitude of the required force between the particles. Now, equating this net force to zero, we can get the value of the charge.

Formula:

The magnitude of the electrostatic force between any two particles, F=kq1q2r2(i)

03

Calculation of the magnitude of the force

The electrostatic force between the two down quarks using equation (i) and the given data is given as:

F=k(e/3)2r2=(9.00脳109Nm2/C2)(1.60脳10鈭�19C)29(2.6脳10鈭�15m)2=3.8N

Hence, the value of the force is 3.8N

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Most popular questions from this chapter

Electrons and positrons are produced by the nuclear transformations of protons and neutrons known as beta decay.(a) If a proton transforms into a neutron, is an electron or a positron produced? (b) If a neutron transforms into a proton, is an electron or a positron produced?

In Fig. 21-28a, particles 1 and 2 have charge 20.0渭Ceach and are held at separation distance d=1.50m. (a) What is the magnitude of the electrostatic force on particle 1 due to particle 2? In Fig. 21-28b, particle 3 of charge 20.0渭Cis positioned so as to complete an equilateral triangle. (b) What is the magnitude of the net electrostatic force on particle 1 due to particles 2 and 3?

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In a spherical metal shell of radius R, an electron is shot from the center directly toward a tiny hole in the shell, through which it escapes. The shell is negatively charged with a surface charge density (charge per unit area) of.6.90脳10鈭�13鈥塁/尘2What is the magnitude of the electron鈥檚 acceleration when it reaches radial distances (a)r=0.500Rand (b)2.00R?

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