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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

In Fig. 21-26, particle 1 of charge +qand particle 2 of charge +4.00q are held at separation L=9.00cmon an x-axis. If particle 3 of charge q3 is to be located such that the three particles remain in place when released, what must be the (a) xand (b) ycoordinates of particle 3, and (c) the ratio q3/q?

A positively charged ball is brought close to an electrically neutral isolated conductor. The conductor is then grounded while the ball is kept close. Is the conductor charged positively, charged negatively, or neutral if (a) the ball is first taken away and then the ground connection is removed and (b) the ground connection is first removed and then the ball is taken away?

A non-conducting spherical shell, with an inner radius of 4.0鈥塩尘and an outer radius of 6.0鈥塩尘, has charge spread non-uniformly through its volume between its inner and outer surfaces. The volume charge density蚁 is the charge per unit volume, with the unit coulomb per cubic meter. For this shell 蚁=b/r, wherer is the distance in meters from the center of the shell andb=3.0鈥坝糃/m2 .What is the net charge in the shell?

Point charges of +6.0渭颁and 鈭�4.0渭颁are placed on a x-axis, at x=8.0mand x=16m, respectively. What charge must be placed at x=24mso that any charge placed at the origin would experience no electrostatic force?

In Fig. 21-15, a central particle of charge-qis surrounded by two circular rings of charged particles. What are the magnitude and direction of the net electrostatic force on the central particle due to the other particles? (Hint:Consider symmetry.)
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