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A hydrogen isotope separator contains positively ionized hydrogen H^1, with isotope of hydrogen, Deuterium D^2, and other heavy particles, and the ions were released in a potential difference of 200 Volts. The strong magnetic field of 1.4x10^-2 Tesla (out of the page), bends the ions and Deuterium is collected on separate ionic trap as shown in the figure. (Masses MH1=1.67x10^-27 kg, MD2 = 2* MH1, Q(H1, D2) = 1.6x10^-19 C.
What is the potential energy of plates having the voltage difference of 200 Volts acting on Deuterium in unit of 10^-17 Joules?
Transcribed Image Text:The diagram illustrates the motion of charged particles in a uniform electric field. It consists of two parallel plates with a potential difference, labeled \(\Delta V\), creating an electric field between them.
- **Plates Configuration**:
- The left plate is marked with a positive \(+\) sign, and the right plate with a negative \(–\) sign.
- The distance between the plates is labeled \(d\).
- **Charge Movement**:
- A red dot near the positive plate represents a charged particle, which is shown to move towards the negative plate.
- Curved lines with arrows depict the path of the particle, bending due to influences on its trajectory.
- **Field Lines**:
- Blue dots arranged in a grid pattern represent the field lines, showing the direction of the electric field from the positive to the negative plate.
- **Detector**:
- A detector is positioned beyond the negative plate to capture the moving particle. The detector's location is indicated below the path.
This setup is commonly used to study particles' behavior in electric fields and is fundamental in physics experiments and applications.
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