Answer:
Explanation:
Given that, the distance between the electrode is d.
The electron kinetic energy is Ek when the electrode are at distance "d" apart.
So, we want to find the K.E when that are at d/3 distance apart.
K.E = ½mv²
Note: the mass doesn't change, it is only the velocity that change.
Also,
K.E = Work done by the electron
K.E = F × d
K.E = W = ma × d
Let assume that if is constant acceleration
Then, m and a is constant,
Then,
K.E is directly proportional to d
So, as d increase K.E increase and as d decreases K.E decreases.
So,
K.E_1 / d_1 = K.E_2 / d_2
K.E_1 = E_k
d_1 = d
d_2 = d/3
K.E_2 = K.E_1 / d_1 × d_2
K.E_2 = E_k × ⅓d / d
Then,
K.E_2 = ⅓E_k
So, the new kinetic energy is one third of the E_k
