Answer:
|q1| / |q2| = 1/7
Explanation:
We are told that both particles are in the same magnetic field, B.
The charge of the first particle is q1
The charge of the second particle is q2
Let the speed of particle 1 be v1.
Let the speed of particle 2 be v2.
The magnetic force acting on particle 1 due to the magnetic field, B, is:
F1 = |q1| * v1 * B
The magnetic force acting on particle 2 due to the magnetic field, B, is:
F2 = |q2| * v2 * B
We are told that both particles experience the same magnetic force. This means that F1 = F2
Therefore:
|q1| * v1 * B = |q2| * v2 * B
=> |q1| * v1 = |q2| * v2
|q1| / |q2| = v2/v1
We are told that the speed of particle 1 is seven times that of particle 2. Hence:
v1 = 7 * v2
Hence:
|q1| / |q2| = v2 / (7 * v2)
|q1| / |q2| = 1/7
