Question

In the Bohr model of the hydrogen atom, the speed of the electron is approximately 2.15 x 10⁶ m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 5.45 x 10⁻¹¹ m. Answer in units of N.

Answer 1

The central force acting on the electron in the Bohr model of the hydrogen atom is approximately 2.73 x 10^-8 N.

Step-by-step explanation:

The central force acting on the electron in the Bohr model of the hydrogen atom can be determined using the equation:

Centripetal force = Mass x (Speed)^2 / Radius

Given that the mass of the electron is 9.11 x 10^-31 kg, the speed of the electron is 2.15 x 10^6 m/s, and the radius of the orbit is 5.45 x 10^-11 m, we can substitute these values into the equation to calculate the central force:

Centripetal force = (9.11 x 10^-31 kg) x (2.15 x 10^6 m/s)^2 / (5.45 x 10^-11 m)

Calculating the above expression, we find that the central force acting on the electron is approximately 2.73 x 10^-8 N.