According to the Bohr model of the atom,an electron orbits the nucleus in a circular orbit.Find the linear speed of an electron in a circular orbit around a proton.Ignore any relativistic or quantum effects. Mass of the electron: 9.11 * 10^-31 kg
Mass of the proton: 1.67 *10^-27 kg
Radius of orbit: 5.29 * 10^-11 m

Question

Quizplus · Accepted Answer

The linear speed of an electron in a circular orbit can be calculated using the formula:

v = (k*e^2)/r*m

where k is Coulomb's constant, e is the charge of the electron (-1.6 x 10^-19 C), r is the radius of the orbit, and m is the mass of the electron.

Substituting the given values, we get:

v = (8.99 x 10^9 N*m^2/C^2)*(1.6 x 10^-19 C)^2/(5.29 x 10^-11 m)*(9.11 x 10^-31 kg)

v = 2.19 x 10^6 m/s

Rounding off to two significant figures, we get:

v = 2.2 x 10^6 m/s

Therefore, the best choice is A.

According to the Bohr Model of the Atom,an Electron Orbits