Question

The imaging drum of a photocopier is positively charged to attract negatively charged particles of toner. Near the surface of the drum, its electric field has magnitude $1.4\times {10}^{5}N{C}^{-1}$. A toner particle is to be attached to the drum with a force that is 10 times the weight of the particle. Assume toner particles are made of carbon ${}_6^{12}C$.

Find charge to mass ratio of the charged toner particle :

• A. $7.0\times {10}^{-4}Ck{g}^{-1}$
• B. $7.0\times {10}^{-3}Ck{g}^{-1}$
• C. $7.0\times {10}^{-5}Ck{g}^{-1}$
• D. $7.0\times {10}^{-6}Ck{g}^{-1}$

Answer 1

The correct option is A $7.0\times {10}^{-4}Ck{g}^{-1}$

Here, $qE=10mg$
$\therefore \frac{q}{m}=\frac{10g}{E}=\frac{10\times 9.8}{1.4\times {10}^5}=7.0\times {10}^{-4}Ck{g}^{-1}$
Ans:(A)