In an ink-jet printer, an ink droplet of mass m is given a negative...

In an ink-jet printer, an ink droplet of mass

m

is given a negative charge

q

by a computer-controlled charging unit. The charged droplet then enters the region between two deflecting parallel plates of length L separated by distance d (see figure below) with a speed v . All over this region there exists a uniform downward electric field E (in the plane of paper). Neglecting the gravitational force on the droplet, the maximum charge that can be given to this droplet, so that it does not hit any of the plates, is In an ink-jet printer, an ink droplet of mass m is given a negative charge q by a computer-controlled charging unit.

In an ink-jet printer, an ink droplet of mass m is given a negative charge q by a computer-controlled charging unit.

Options

A $\frac{\mathrm{mv}^2 \mathrm{~L}}{\mathrm{Ed}^2}$
B $\frac{\mathrm{mv}^2 \mathrm{~d}}{\mathrm{EL}^2}$
C $\frac{\mathrm{md}}{\mathrm{Ev}^2 \mathrm{~L}^2}$
D $\frac{m v^2 L^2}{E d}$

Correct answer

B. $\frac{\mathrm{mv}^2 \mathrm{~d}}{\mathrm{EL}^2}$

Step-by-step solution

No Solution

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