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Sunny_sXe [5.5K]
3 years ago
15

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. ve/vp =
Physics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

42.84

Explanation:

Let's take v_p to be the proton's velocity and v_e to be the electron's velocity and V to be the potential difference through which both the charges are accelerated  and further taking e  be the charge of proton and electron.

Using the given values:

m_p=1.67\times10^-^2^7kg\\\\m_e=9.1\times 10^{-31}kg

The expression for the work done is

W_p=W_e=eV

Solving for the kinetic energy equation:

W_p=W_e\\\\0.5m_pv_p^2=0.5m_ev_e^2\\\\\frac{v_e}{v_p}=\sqrt{\frac{m_p}{m_e}}\\\\=\sqrt{\frac{1.67\times10^{-27}}{9.1\times10^{-31}}}\\\\=42.83

Thus the  ratio ve/vp. ve/vp =42.84

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