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

Question

Two equal and opposite charges of masses $ \mathrm{m}_{1} $ and $ \mathrm{m}_{2} $ are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their mi ratio of masses is $ \frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}}=0.5 $ ?, $ \frac{a_{1}}{a_{2}}=0.5 $, $ \frac{a_{1}}{a_{2}}=1 $, $ \frac{a_{1}}{a_{2}}=2 $, $ \frac{a_{1}}{a_{2}}=3 $

MARKS App · Accepted Answer

Since both the masses are accelerated in an uniform electric field through same distance, therefore, force acting on both the masses is same. We know $ F= $ ma $ \Rightarrow F_{1}=F_{2} \Rightarrow m_{1} a_{1}=m_{2} a_{2} \Rightarrow \frac{a_{1}}{a_{2}}=\frac{m_{2}}{m_{1}} $ Using $ \frac{m_{1}}{m_{2}}=0.5 $, we get $ \frac{a_{1}}{a_{2}}=\frac{1}{0.5} \Rightarrow \frac{a_{1}}{a_{2}}=2 $

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