The distance traveled by an electron when it hits a metal plate depends on several factors such as its energy level, the surface charge density of the metal plate, and the velocity of the electron relative to the plate.
((b) how far will the particle travel, δx, before it hits the metal plate?)
To determine the distance traveled by an electron, we need to know its initial kinetic energy (x), which is given by the formula:
x = sqrt(2gh)
where g is the acceleration due to gravity (approximately 9.81 m/s²), h is the height of the electron above the ground, and x is its kinetic energy.
Once we have the kinetic energy of the electron, we can use the formula for the potential difference between two points to calculate the potential energy at that point:
V = U – E
where V is the potential energy, U is the potential energy at the top of the metal plate, and E is the kinetic energy.
Finally, we can use the equation for work done per unit time to calculate the amount of work required to move the electron across the potential energy barrier. This work can be used to determine the kinetic energy required to overcome the potential energy barrier and reach the metal plate.
((b) how far will the particle travel, δx, before it hits the metal plate?)
In summary, the distance traveled by an electron when it hits a metal plate depends on its energy level, the surface charge density of the metal plate, and the velocity of the electron relative to the plate. By using the appropriate formulas and equations, we can calculate the distance traveled by an electron and determine the work required to move it across the potential energy barrier.
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