Concept explainers
(a)
The radius of curvature if an atom moves in a plane perpendicular to a uniform field.
(a)
Answer to Problem 17P
The radius of circular motion is
Explanation of Solution
Given:
A doubly charged helium
Accelerating voltage is 2100 V.
Uniform magnetic field is
Formula used:
According to the law of energy conservation,
Calculation:
Using energy conservation law, electrical potential energy of ions converted into kinetic energy.
Since atom is moving in a perpendicular direction to the magnetic field. Thus, the magnetic force will be maximum at
Using velocity relation in the force, we get
Conclusion:
The radius of circular motion adapted by the doubly charged helium atom due to magnetic field is
(b)
The period of revolution.
(b)
Answer to Problem 17P
The period of revolution is
Explanation of Solution
Given:
A doubly charged helium atom has mass of
Accelerating voltage is 2100 V
Formula Used:
Using distance relationship
Calculation:
For circular motion, a period is equal to the circumference of a circle. Thus, the time period in revolving a circle is
Conclusion:
The period of revolving in the circular motion is
Chapter 20 Solutions
Physics: Principles with Applications
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