Final answer:
To determine the number of particles that strike the target, calculate the total charge using the current and time, then divide by the charge of one particle. Current in amperes times time in seconds equals total charge, which divided by double the elementary charge gives the number of particles.
Step-by-step explanation:
The question deals with the calculation of the number of particles striking a target in a specific period of time, given the current of the particle beam and the charge of the particles.
To find the number of charged particles hitting the target, we use the relationship between electric current, charge, and time. The electric current (I) is defined as the amount of charge (Q) passing through a point in a circuit per unit of time (t). Mathematically, I = Q / t. Rearranging this equation to solve for the total charge gives us Q = I * t. Since each particle carries a charge of +2e (where e is the elementary charge, 1.602 * 10^-19 C), we can calculate the total number of particles (N) by dividing the total charge (Q) by the charge of one particle (+2e).
The current is given as 143 μA (microamperes), which we convert to amperes (A) by multiplying by 10^-6. Therefore, I = 143 * 10^-6 A. The period of time is 22.0 seconds. First, we calculate the total charge that strikes the target: Q = I * t = (143 * 10^-6 A) * 22.0 s. Then we divide this by the charge of one particle: N = Q / (2e) = (143 * 10^-6 A * 22.0 s) / (2 * 1.602 * 10^-19 C)
After calculating the above expression, you will get the number of particles that hit the target in 22.0 seconds.