Answer & Solution
Answer: Option
D
Solution:
First, let's understand the key concepts:
* Electric Field (E): This is the force exerted on a charge due to the voltage difference.
* Force on an Electron (F): An electron experiences a force in an electric field.
* Acceleration (a): This is the rate of change of velocity caused by the force.
Here's how to solve the problem step-by-step:
1. Find the Electric Field (E):
* The electric field between two parallel plates is uniform and calculated as E = V/d,
* where V is the potential difference (100 V) and d is the distance between the plates (10 mm = 0.01 m).
* So, E = 100 V / 0.01 m = 10000 V/m.
2. Find the Force on the Electron (F):
* The force on an electron in an electric field is F = qE,
* where q is the charge of an electron (approximately 1.602 x 10-19 Coulombs).
* So, F = (1.602 x 10-19 C) * (10000 V/m) = 1.602 x 10-15 N.
3. Find the Acceleration (a):
* Using Newton's second law, F = ma, where m is the mass of the electron (approximately 9.109 x 10-31 kg).
* So, a = F/m = (1.602 x 10-15 N) / (9.109 x 10-31 kg) ≈ 1.76 x 1015 m/s2.
Therefore, the correct answer is:
Option D: 1.76 x 1015 m/s2
