In the Bohr model of hydrogen, the electron moves in a circular orbit around the nucleus. Determine the angular speed of the electron, in revolutions per second, when it is in (a) the ground state and (b) then = 4 state.

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### Bohr Model of Hydrogen: Angular Speed of an Electron

In the Bohr model of hydrogen, the electron moves in a circular orbit around the nucleus. Determine the angular speed of the electron, in revolutions per second, when it is in:

(a) the ground state (n=1)
(b) the n = 4 state

### Diagram Explanation

The diagram shows an electron moving in a circular orbit around the nucleus of a hydrogen atom. The following key components are labeled:
- A central nucleus depicted as a small circle.
- An electron moving in a circular orbit around the nucleus.
- The radius of the orbit, labeled as \( r_n \), with \( n = 1 \) indicating the ground state radius.

### Input Fields

Below the diagram, there are input fields for entering numerical values:
- For part (a), indicate the value and unit of the angular speed of the electron in the ground state.
  - **(a) Number:** [Input Field] **Units:** [Dropdown]
- For part (b), indicate the value and unit of the angular speed of the electron in the n = 4 state.
  - **(b) Number:** [Input Field] **Units:** [Dropdown]

#### Units Dropdown Options:
- Revolutions per second (rev/s)
- Radians per second (rad/s)

By understanding the Bohr model and the angular speed of electrons, students can grasp fundamental concepts in atomic physics and quantum mechanics.
Transcribed Image Text:### Bohr Model of Hydrogen: Angular Speed of an Electron In the Bohr model of hydrogen, the electron moves in a circular orbit around the nucleus. Determine the angular speed of the electron, in revolutions per second, when it is in: (a) the ground state (n=1) (b) the n = 4 state ### Diagram Explanation The diagram shows an electron moving in a circular orbit around the nucleus of a hydrogen atom. The following key components are labeled: - A central nucleus depicted as a small circle. - An electron moving in a circular orbit around the nucleus. - The radius of the orbit, labeled as \( r_n \), with \( n = 1 \) indicating the ground state radius. ### Input Fields Below the diagram, there are input fields for entering numerical values: - For part (a), indicate the value and unit of the angular speed of the electron in the ground state. - **(a) Number:** [Input Field] **Units:** [Dropdown] - For part (b), indicate the value and unit of the angular speed of the electron in the n = 4 state. - **(b) Number:** [Input Field] **Units:** [Dropdown] #### Units Dropdown Options: - Revolutions per second (rev/s) - Radians per second (rad/s) By understanding the Bohr model and the angular speed of electrons, students can grasp fundamental concepts in atomic physics and quantum mechanics.
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