An electron and a proton, starting from rest, are accelerated through an electric potential difference of the same magnitude. in

Question

garik1379 [7]

3 years ago

8

An electron and a proton, starting from rest, are accelerated through an electric potential difference of the same magnitude. in

the process, the electron acquires a speed ve, while the proton acquires a speed vp. find the ratio ve/vp.

Physics

1 answer:

Yakvenalex [24] · Answer 1 · 2022-03-28T08:18:21+03:00

The charges are the same in absolute value, so the change of potential energy is the same. That means that the change in kinetic energy is also the same. Then:

1 = Ke/Kp = m_e *v_e^2 / m_p * v_p^2, or

v_e/v_p = sqrt( m_p/m_e),

So the speed of the electron will be sqrt( m_p/m_e) times greater than the speed of the proton