Find the Central Force on an Electron in a Hydrogen Atom

In summary, the Bohr model of the hydrogen atom states that the speed of the electron is approximately 1.96e+6 m/s. To find the central force acting on the electron in a circular orbit with a radius of 4.8e-11 m, one could use the Coulomb force calculation and compare it to the angular acceleration multiplied by the mass (centripetal force). However, the mass of the electron is not given in this scenario.
  • #1
directdelta
6
0
In the Bohr model of the hydrogen atom,
the speed of the electron is approximately
1.96e+6 m/s.
Find the central force acting on the electron
as it revolves in a circular orbit of radius
4.8e-11 m. Answer in units of N.
 
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  • #3
astronuc

thanks astronuc, but that did not help. i was talking about the "central force", not "centripetal" and again, the mass of the particle is not given, so i can't use the mass.
 

Related to Find the Central Force on an Electron in a Hydrogen Atom

1. What is the central force acting on an electron in a hydrogen atom?

The central force acting on an electron in a hydrogen atom is the electrostatic force of attraction between the positively charged nucleus and the negatively charged electron. This force is responsible for keeping the electron in orbit around the nucleus.

2. How is the central force calculated?

The central force can be calculated using Coulomb's Law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

3. What is the magnitude of the central force on an electron in a hydrogen atom?

The magnitude of the central force on an electron in a hydrogen atom is approximately 8.99 x 109 Newtons. This value is dependent on the distance between the electron and the nucleus, as well as the strength of the charges.

4. How does the central force affect the motion of the electron?

The central force acts as a centripetal force, causing the electron to continuously move in a circular orbit around the nucleus. As the distance between the electron and the nucleus changes, the strength of the central force also changes, resulting in different orbital shapes and energies.

5. Can the central force be repulsive?

No, the central force between an electron and a nucleus in a hydrogen atom is always attractive. This is because the electron and the nucleus have opposite charges, causing them to be attracted to each other. In other systems, such as molecules, the central force can be either attractive or repulsive depending on the relative charges and distances between particles.

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