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Chapter 4: Q11DQ (page 713)

Because the charges on the electron and proton have the same absolute value, atoms are electrically neutral. Suppose that this is not precisely true, and the absolute value of the charge of the electron is less than the charge of the proton by 0.00100%. Estimate what the net charge of this textbook would be under these circumstances. Make any assumptions you feel are justified, but state clearly what they are. (Hint: Most of the atoms in this textbook have equal numbers of electrons, protons, and neutrons.) What would be the magnitude of the electric force between two textbooks placed 5.0 m apart? Would this force be attractive or repulsive?

Short Answer

Expert verified

The magnitude of the electric force between the two textbooks is

The force is repulsive in nature.

Step by step solution

01

Determination of the net charge of books.

Number of protons= Number on electrons.

Assume the mass of the book is 1.0 kg

The given value of mass of proton is equal to the mass of a neutron with a value of

1.67×10-27kg

So, the number of protons is,

localid="1663833953627" 12×1.67×10-27kg=3×1026kg-1

Thus, the net charge difference is,

∆q=3x1026cx00001x1.6x10-19C=480C

02

Determination of the magnitude of the electric force between the textbooks.

According to Coulomb’s Law,

F=k×Q1×Q2d2=k×∆q2d2=k×480252=8.3×1013N

Thus, the force is repulsive in nature.

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Most popular questions from this chapter

Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. These cyclotrons typically accelerate H-(the hydride ion, which has one proton and two electrons) to an energy of 5MeVto20MeV.This ion has a mass very close to that of a proton because the electron mass is negligible about 12000of the proton’s mass. A typical magnetic field in such cyclotrons is 1.9T..(a) What is the speed of a 5.0-MeVH-? (b) If the H-has energy 5.0MeVandB=1.9T what is the radius of this ion’s circulator orbit?

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