Concept explainers
(a)
To Show: The frequency of the voltage is
(a)
Answer to Problem 77GP
Explanation of Solution
Given info:
Magnetic field
Electric field
Voltage,
Formula used:
Lorentz force:
Here, q is the charge.
Here, m is the mass, v is the velocity and r is the radius.
Calculation:
Lorentz force would balance the centripetal force in order to cause the particle to move in a circular orbit.
Therefore,
There is no electric field inside the Dees, therefore,
Radius of the orbital:
Orbital speed of the particle:
Frequency of the voltage:
Plugging in the value of
Conclusion:
Hence, frequency of the voltage,
(b)
To Show: Kinetics energy of the particle increases by
(b)
Answer to Problem 77GP
Explanation of Solution
Given info:
Magnetic field
Electric field
Voltage,
Initial speed of the particle,
Formula used:
Formula of kinetics energy:
Calculation:
Let, the speed of the particle be
Kinetics energy build up from
Increased in kinetics energy:
Conclusion:
Hence, increase in kinetic energy:
(c)
To Compute: Maximum kinetics energy of the proton.
(c)
Answer to Problem 77GP
Explanation of Solution
Given:
Radius of the cyclotron,
Magnetic field strength,
Charge on proton,
Mass of the proton,
Formula used:
Velocity can be obtained using:
Calculation:
Maximum kinetic energy:
Plugging in the give values:
Conclusion:
Maximum kinetics energy:
Chapter 20 Solutions
Physics: Principles with Applications
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