Answer:
Explanation:
The distance between the electrodes is denoted as d.
The kinetic energy of the electron is represented as Ek when the electrodes are positioned at a distance of "d" apart.
Our goal is to determine the kinetic energy when they are separated by a distance of d/3.
K.E = ½mv²
It’s important to note that the mass remains constant; only velocity varies.
Additionally,
K.E = Work done by the electron
K.E = F × d
K.E = W = ma × d
Assuming constant acceleration
Hence, m and a are fixed,
therefore,
K.E is directly related to d
Thus, as d increases, K.E increases, and conversely, when d decreases, K.E decreases.
Consequently,
K.E_1 / d_1 = K.E_2 / d_2
With K.E_1 equating to E_k
and d_1 being d
while d_2 is represented as d/3
This leads to K.E_2 = K.E_1 / d_1 × d_2
Thus, K.E_2 = E_k × ⅓d / d
Finally,
K.E_2 = ⅓E_k
Therefore, the resultant kinetic energy is one third of the original E_k
