The electron and the proton in a hydrogen atom have equal and opposite charges at adistance of 5.3×10−11m. What would be the mass of two particles with the samecharges as a proton and electron so that the gravitational force would be the samemagnitude as the electric force at this distance? Assume the two masses are the same. I know the correct answer is 2x10^-9 but can you please show my why in the simplest way including the formula you are using?
In this question we will find the electric force between two charges and then equate it with the gravitational force to find the mass m because the magnitude of both the forces are equal.
Calculation is as shown below.
The electron and the proton in a hydrogen atom have equal and opposite charges at adistance...
A hydrogen atom is at the earth’s surface. The electron and proton in the atom are separated by a distance of 5.29×10?11m. What is the ratio of the magnitude of the electric force exerted by the proton on the electron to the weight of the electron? r-529 x1σ11 m Mp= 1.67×10 -27 kg /n-911 × 10-31 kg
In a hydrogen atom, an electron with a charge of (-)1.6E-19 orbits a proton with the same but positive charge at a distance 65 picometers away (that's trillionths of a meter or 10-12 m). What electric force F, in N, binds the two particles together? Use "E" notation for your answer.
Example 15.1 The Forces in a Hydrogen Atom Goal Contrast the magnitudes of an electric force and a gravitational force. Problem The electron and proton of a hydrogen atom are separated (on the average) by a distance of about 5.30 x 1011 m. Find the magnitudes of the electric force and the gravitational force that each particle exerts on the other, and the ratio of the electric force, Fe, to the gravitational force, Fo Strategy Solving this problem is just...
A hydrogen atom consists of a proton, effectively a point charge of +1.6 × 10^-19C, surrounded by a spherical “electron cloud” of radius 5.3 × 10^-11m and charge −1.6 × 10^-19C. Use Gauss’s Law to find the electric field at a point (a) 2 × 10^-11m from the proton (inside the atom) and (b) 1 × 10^-10m from the proton (outside).
5) (2090) The electron is bound to the proton in a hydrogen atom due to the Coulomb force. Now assume that electric charge did not exist and the electron was bound to the proton by the gravitational force to form a hydrogen atom, please derive the corresponding expressions for (a) (8%) the Bohr radius ao and (b) (7%) energy En, (c) (5%) Compute the smallest frequency of the Balmer series. (G-6.67x10 N mKg')
Hydrogen Atom electron proton We want to know the electric field due to the proton in a hydrogen atom at the location of the electron. The electron orbit radius is approximately 5.3 x 10 m. If we work it out, we find the E field at this location is equal toX 10 N/C. Give the missing number (accurate to 2 significant figures). Your answer MG,0009 jp9 O Type here to search
3) A hydrogen atom consists of a single proton and a single electron bound together by the electric force. When in the ground state, they are separated by 52.9pm. How much energy is required to separate these two particles? (Note: It actually takes less than what you calculate in this problem, since the electron has a significant amount of kinetic energy to start with)
Assuming that the average distance between the electron and the proton in a hydrogen atom is 1.0 angstrom, what is the average force exerted by the proton on the electron?
In a simplistic model of the hydrogen atom, the electron orbits the proton in a circle of radius 53 pm. What is the orbital period of the electron, in seconds, if the force responsible for the proton-electron attraction is electric?
9. In a hydrogen atom a single electron orbits a proton at a radius of 0.05 nm. a. What’s the potential at this distance from the proton? b. How much electric energy is stored in the atom, in both eV and J?