A velocity selector in a mass spectrometer, like the one shown below, uses a 0.123 T magnetic field. Ion source (a) What electric field strength is needed to select a speed of 4.01 × 106 m/s? V/m (b) What is the voltage between the plates if they are separated by 1.00 cm? kV O O

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### Velocity Selector in a Mass Spectrometer

**Diagram Explanation:**

- The diagram illustrates a velocity selector in a mass spectrometer.
- An ion source emits charged particles (ions), represented as `q`.
- The ions pass between two parallel plates, one positively charged and one negatively charged, creating an electric field `E` and resulting in a force `F_E`.
- A magnetic field `B` is applied perpendicular to the electric field, resulting in a magnetic force `F_B`.
- The forces `F_E` and `F_B` act in opposite directions, enabling only particles with a specific velocity to pass through undeflected.
- Beyond the velocity selector, the ions follow a circular path within the magnetic field region, indicating the separation of ions based on mass `m_1` and `m_2`.

**Magnetic Field and Forces:**

- The magnetic field used is `0.123 T` (Tesla).
- `F_E` is the force due to the electric field, and `F_B` is the force due to the magnetic field.

**Questions:**

(a) *What electric field strength is needed to select a speed of \(4.01 \times 10^6 \, \text{m/s}\)?*

A blank space is provided for entering the electric field strength in V/m (volts per meter).

(b) *What is the voltage between the plates if they are separated by 1.00 cm?*

A blank space is provided for entering the voltage in kV (kilovolts).
Transcribed Image Text:### Velocity Selector in a Mass Spectrometer **Diagram Explanation:** - The diagram illustrates a velocity selector in a mass spectrometer. - An ion source emits charged particles (ions), represented as `q`. - The ions pass between two parallel plates, one positively charged and one negatively charged, creating an electric field `E` and resulting in a force `F_E`. - A magnetic field `B` is applied perpendicular to the electric field, resulting in a magnetic force `F_B`. - The forces `F_E` and `F_B` act in opposite directions, enabling only particles with a specific velocity to pass through undeflected. - Beyond the velocity selector, the ions follow a circular path within the magnetic field region, indicating the separation of ions based on mass `m_1` and `m_2`. **Magnetic Field and Forces:** - The magnetic field used is `0.123 T` (Tesla). - `F_E` is the force due to the electric field, and `F_B` is the force due to the magnetic field. **Questions:** (a) *What electric field strength is needed to select a speed of \(4.01 \times 10^6 \, \text{m/s}\)?* A blank space is provided for entering the electric field strength in V/m (volts per meter). (b) *What is the voltage between the plates if they are separated by 1.00 cm?* A blank space is provided for entering the voltage in kV (kilovolts).
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