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The acceleration of a charged particle in a uniform electric field is : (where specific charge of a particle \( \left.=\frac{q}{m}\right) \)
- proportional to its charge only
- inversely proportional to its mass only
- proportional to its specific charge
- inversely proportional to specific charge
Correct answer: proportional to its specific charge
Solution
In a uniform electric field, the electric force on a particle is F = qE. Using F = ma gives a = qE/m = (q/m)E, so acceleration depends on the specific charge q/m. Therefore it is proportional to specific charge.
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