[2pts] A magnesium ion (Mg2+) and a calcium ion (Ca2+) are lo- cated in points A and B, separated by a distance 2d along the z-axis as indicated in the schematic. What is electric force acting on the magnesium ion? Write your result symbolically, expressing charges in terms of the elementary charge e. Fca on Mg= [4pts] (Mg2+ Now a neutral molecule Na with polarizability a is placed in (Mg2+) the midpoint between the two ions. What is the net electric force acting on this molecule, and what does the presence of Na mean for the net force felt by the magnesium ion? Force on Na: Force on Mg2+: [10pts] Finally, the calcium ion is removed. Determine the dipole (Mg2+) moment p now induced in the neutral molecule and express it as a function of the given parameters (such as d and a) and known natural constants (such as e and €0). p = 2d Z d Z d Ꮓ PN Na d Ca2+ Ca2+ Ca2+ [14pts] Determine the electric force Fon No acting on the neutral molecule in the above final configuration (shown in the schematic of part 3), again expressing your result in terms of the given parameters and known natural constants.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

Please help me with this practice test.

[2pts]
A magnesium ion (Mg2+) and a calcium ion (Ca2+) are lo-
cated in points A and B, separated by a distance 2d along the
z-axis as indicated in the schematic. What is electric force
acting on the magnesium ion? Write your result symbolically,
expressing charges in terms of the elementary charge e.
Fca on Mg=
[4pts]
(Mg2+
Now a neutral molecule Na with polarizability a is placed in (Mg2+)
the midpoint between the two ions. What is the net electric
force acting on this molecule, and what does the presence of
Na mean for the net force felt by the magnesium ion?
Force on Na:
Force on Mg2+:
[10pts]
Finally, the calcium ion is removed. Determine the dipole (Mg2+)
moment p now induced in the neutral molecule and express
it as a function of the given parameters (such as d and a)
and known natural constants (such as e and €0).
p =
2d
Z
d
Z
d
Ꮓ
PN
Na
d
Ca2+
Ca2+
Ca2+
[14pts]
Determine the electric force Fon No acting on the neutral molecule in the above final configuration (shown in
the schematic of part 3), again expressing your result in terms of the given parameters and known natural
constants.
Transcribed Image Text:[2pts] A magnesium ion (Mg2+) and a calcium ion (Ca2+) are lo- cated in points A and B, separated by a distance 2d along the z-axis as indicated in the schematic. What is electric force acting on the magnesium ion? Write your result symbolically, expressing charges in terms of the elementary charge e. Fca on Mg= [4pts] (Mg2+ Now a neutral molecule Na with polarizability a is placed in (Mg2+) the midpoint between the two ions. What is the net electric force acting on this molecule, and what does the presence of Na mean for the net force felt by the magnesium ion? Force on Na: Force on Mg2+: [10pts] Finally, the calcium ion is removed. Determine the dipole (Mg2+) moment p now induced in the neutral molecule and express it as a function of the given parameters (such as d and a) and known natural constants (such as e and €0). p = 2d Z d Z d Ꮓ PN Na d Ca2+ Ca2+ Ca2+ [14pts] Determine the electric force Fon No acting on the neutral molecule in the above final configuration (shown in the schematic of part 3), again expressing your result in terms of the given parameters and known natural constants.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON