A hydrogen isotope separator contains positively ionized hydrogen H', with isotope of hydrogen, Deuterium D, and other heavy particles, and the ions were released in a potential difference of 200 Volts. The strong magnetic field of1.4x10 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 diameter of deflection, d for the Deuterium in units of Centi-meter?

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A hydrogen isotope separator contains positively ionized hydrogen \( H^1 \), with the 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 1.4 x 10^{-2} Tesla (out of the page), bends the ions and Deuterium is collected on a separate ionic trap as shown in the figure. (Masses \( M_{H1} = 1.67 x 10^{-27} \, \text{kg}, \, M_{D2} = 2^* M_{H1} \). \( Q(H1, D2) = 1.6 x 10^{-19} \, \text{C} \))

What is the diameter of deflection, d for the Deuterium in units of Centi-meter?

### Diagram Explanation:

The diagram shows an experimental setup where ions are released into a magnetic field. The deflected path is shown with a curved trajectory due to the Lorentz force acting perpendicular to the velocity of the charged particles. The figure illustrates a velocity selector and a detector positioned to capture deflected ions. The path is semi-circular, showing the bending of ions by the magnetic field, with the detector placed at the end of this path. The trajectory forms a part of a circle with radius \( r \) marked, while a symbol \( \Delta V \) represents the potential difference applied across the system.
Transcribed Image Text:A hydrogen isotope separator contains positively ionized hydrogen \( H^1 \), with the 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 1.4 x 10^{-2} Tesla (out of the page), bends the ions and Deuterium is collected on a separate ionic trap as shown in the figure. (Masses \( M_{H1} = 1.67 x 10^{-27} \, \text{kg}, \, M_{D2} = 2^* M_{H1} \). \( Q(H1, D2) = 1.6 x 10^{-19} \, \text{C} \)) What is the diameter of deflection, d for the Deuterium in units of Centi-meter? ### Diagram Explanation: The diagram shows an experimental setup where ions are released into a magnetic field. The deflected path is shown with a curved trajectory due to the Lorentz force acting perpendicular to the velocity of the charged particles. The figure illustrates a velocity selector and a detector positioned to capture deflected ions. The path is semi-circular, showing the bending of ions by the magnetic field, with the detector placed at the end of this path. The trajectory forms a part of a circle with radius \( r \) marked, while a symbol \( \Delta V \) represents the potential difference applied across the system.
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