Final answer:
The question is about Physics, specifically focusing on electrostatics in ink-jet printers. It asks for the number of electrons that an ink droplet captures to become charged, which can be calculated by dividing the droplet's charge by the charge of a single electron.
Step-by-step explanation:
The subject of this question is Physics because it involves charging ink droplets using an electron beam, a process that relies on principles of electrostatics and mechanics. When ink droplets in an ink-jet printer become electrically charged, they can be deflected using electric fields created between pairs of charged plates to precisely place them on paper.
To determine the number of electrons transferred to the ink droplet with a charge of -1 × 10⁻¹⁰ C, we use the elementary charge of an electron, which is -1.602 × 10⁻¹⁹ C. Dividing the droplet's charge by the charge of a single electron gives the number of electrons captured:
Number of electrons = Droplet charge / Electron charge = (-1 × 10⁻¹⁰ C) / (-1.602 × 10⁻¹⁹ C) ≈ 6.24 × 10⁹ electrons
It is essential to understand this electrostatic concept to manipulate the direction and placement of the ink droplet for creating high precision images and text on paper with an ink-jet printer.