Homework Answers
Gravitational force of attraction will provide necessary
centripetal force.We will use Bohrs rule of quantization of angular
momentum, mvr=(nh)/(2)
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5) (2090) The electron is bound to the proton in a hydrogen atom due to the...
Question #1 Hydrogen atom consists of one electron and one proton. In the Bohr model of...
Question #1 Hydrogen atom consists of one electron and one proton. In the Bohr model of the Hydrogen atom, the electron orbits the proton in a circular orbit of radius 0.529 E-10 m. This radius is known as the Bohr Radius. Calculate the smallest amount of kinetic energy the electron must have in order to leave its circular orbit and move to infinity far from the proton? Question #2 The potential in a region between x = 0 and x...
3) A hydrogen atom consists of a single proton and a single electron bound together by...
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)
In the Rutherford model of the hydrogen atom, a proton (mass M, charge ) is the...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge ) is the nucleus and an electron (mass m, charge ) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/40) and the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one a. kOq/GMm b. Og/GMora C. GM/ d. k Mm/GO e. GOg/kM
Consider an electron within the ls orbital of a hydrogen atom. The normalized probability of finding...
Consider an electron within the ls orbital of a hydrogen atom. The normalized probability of finding the electron within a sphere of a radius R centered at the nucleus is given by normalized probability = [az-e * (až + 2a, R+ 2R)] where a, is the Bohr radius. For a hydrogen atom, ao = 0.529 Å. What is the probability of finding an electron within one Bohr radius of the nucleus? normalized probability: 0.323 Why is the probability of finding...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge ) is the...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge ) is the nucleus and an electron (mass m, charge g) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/472) and the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one: O a. GMm/kQq O b. kQqGM2 O c. kg/GM O d. GOq/k Mon O e. kMme
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting...
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting a massive, stationary proton in a circular path of radius ao, equal to 0.529*10^-10 m. Calculate the speed of an electron in this circular orbit. Calculate the electric potential at a radius 0.4*ao, measured from the proton. Is gravity a significant factor in this situation? Does the problem statement make any assumptions that might be invalid? pt a. (7 pts) Find the value of...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the nucleus and an electron (mass m, charge q) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/4peo) and G the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one: a. kMm/ GQq b.kQq/GMm c. GQq/kMm d. kQq/GMmr2 e. GMm/kQq
3. (a) (6 pts) An electron is orbiting a proton. Find the force between the electron...
3. (a) (6 pts) An electron is orbiting a proton. Find the force between the electron and the proton (b) (8 pts) Find the voltage and the electric field strength this electron sees from the proton (c) (11 pts) in the Bohr model of the hydrogen atom, the electron orbits the proton at the radius of the electron's orbit. Find the current created by the electron orbiting the proton in the Bohr model of the hydrogen atom.
In an early model of the hydrogen atom (the Bohr model), the electron orbits the proton...
In an early model of the hydrogen atom (the Bohr model), the electron orbits the proton in uniformly circular motion. The radius of the circle is restricted (quantized) to certain values given by rn2 for n1,2, 3.,.. where ao52.92 pm. What is the speed of the electron if it orbits in (a) the smallest allowed orbit and (b) the third smallest orbit? (c) If the electron moves to larger orbits, does its speed increase, decrease, or stay the same?
In a simplistic model of the hydrogen atom, the electron orbits the proton in a circle...
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?
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)
In the Rutherford model of the hydrogen atom, a proton (mass M, charge ) is the nucleus and an electron (mass m, charge ) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/40) and the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one a. kOq/GMm b. Og/GMora C. GM/ d. k Mm/GO e. GOg/kM
Consider an electron within the ls orbital of a hydrogen atom. The normalized probability of finding the electron within a sphere of a radius R centered at the nucleus is given by normalized probability = [az-e * (až + 2a, R+ 2R)] where a, is the Bohr radius. For a hydrogen atom, ao = 0.529 Å. What is the probability of finding an electron within one Bohr radius of the nucleus? normalized probability: 0.323 Why is the probability of finding...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge ) is the nucleus and an electron (mass m, charge g) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/472) and the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one: O a. GMm/kQq O b. kQqGM2 O c. kg/GM O d. GOq/k Mon O e. kMme
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting a massive, stationary proton in a circular path of radius ao, equal to 0.529*10^-10 m. Calculate the speed of an electron in this circular orbit. Calculate the electric potential at a radius 0.4*ao, measured from the proton. Is gravity a significant factor in this situation? Does the problem statement make any assumptions that might be invalid? pt a. (7 pts) Find the value of...
In the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the nucleus and an electron (mass m, charge q) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/4peo) and G the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one: a. kMm/ GQq b.kQq/GMm c. GQq/kMm d. kQq/GMmr2 e. GMm/kQq
3. (a) (6 pts) An electron is orbiting a proton. Find the force between the electron and the proton (b) (8 pts) Find the voltage and the electric field strength this electron sees from the proton (c) (11 pts) in the Bohr model of the hydrogen atom, the electron orbits the proton at the radius of the electron's orbit. Find the current created by the electron orbiting the proton in the Bohr model of the hydrogen atom.
In an early model of the hydrogen atom (the Bohr model), the electron orbits the proton in uniformly circular motion. The radius of the circle is restricted (quantized) to certain values given by rn2 for n1,2, 3.,.. where ao52.92 pm. What is the speed of the electron if it orbits in (a) the smallest allowed orbit and (b) the third smallest orbit? (c) If the electron moves to larger orbits, does its speed increase, decrease, or stay the same?
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