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The period will be the same if the amplitude of the motion is increased to 2a
What is an Amplitude?
Amplitude refers to the maximum extent of a vibration or oscillation, measured from the position of equilibrium.
Here,
mass m is attached to the spring.
mass attached = m
time period = t
We know that,
The time period for the spring is calculated with the equation:
Where k is the spring constant
Now if the amplitude is doubled, it means that the distance from the equilibrium position to the displacement is doubled.
From the equation, we can say,
Time period of the spring is independent of the amplitude.
Hence,
Increasing the amplitude does not affect the period of the mass and spring system.
Learn more about time period here:
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Answer:
Velocity of the electron in the beam.
Radius of the circulating electrons due to the magnetic field.
Explanation:
We have a Mathematical expression for the force on a moving charge in a magnetic field as:
...........................(1)
where:
q= charge on the particle in coulomb
v= velocity of the charge projected into the magnetic field
B= intensity of the magnetic field in tesla
= angle between the velocity and direction of magnetic field
For the forces on rotating mass we have the formula:
..........................................(2)
where:
m= mass of the charged particle
v= velocity of projection of charge into the magnetic field
r= radius of the path traced by the charge in the magnetic field
From eq. (1) and (2) we can calculate the magnetic field .
Now,
Using Ampere's Law we have:
where:
I= current in the wire
The permeability of free space.
r= radial distance from the current carrying wire( in this case it is same as the radius of the circular path)