Two equal and opposite charges of masses $m_{1}$ and $m_{2}$ are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is $\frac{m_{1}}{m_{2}} = 0.5$ ?

\frac{a_{1}}{a_{2}} = 0.5

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\frac{a_{1}}{a_{2}} = 1

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\frac{a_{1}}{a_{2}} = 2

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\frac{a_{1}}{a_{2}} = 3

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Solution

The correct option is C $\frac{a_{1}}{a_{2}} = 2$
According to Newton's third law of motion, both charges apply equal and opposite force on each other i.e. $F_{1} = F_{2}$
Let the acceleration of both charges be $a_{1}$ and $a_{2}$ .
$∴$ $m_{1} a_{1} = m_{2} a_{2}$
Thus ratio of accelerations $\frac{a_{1}}{a_{2}} = \frac{m_{2}}{m_{1}} = \frac{1}{0.5} = 2$

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