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Electricity and Magnetism

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Acceleration of a Charge in an Electric Field

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A particle of mass $m_o$ and charge $q_o$ is placed in a uniform electric field of magnitude $E_o$, and undergoes and acceleration of $a_o$. Another particle with the same charge, but with a mass $m_1 = 2m_o$ is placed into a uniform electric field of magnitude $ E_1 = 2E_o$, and undergoes an acceleration of $a_1$.

What is the ratio of accelerations; $\cfrac{a_1}{a_o}$?

A

$\cfrac{a_1}{a_o} = 2$

B

$\cfrac{a_1}{a_o} = 1$

C

$\cfrac{a_1}{a_o} = 1/2$

D

$\cfrac{a_1}{a_o} = 1/4$