A hydrogen atom consists of a proton, effectively a point charge of +1.6 × 10^-19C, surrounded...
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).
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A hydrogen atom consists of a proton, effectively a point charge
of +1.6 × 10^-19C, surrounded...
1) Neutral hydrogen can be modeled as a positive point charge +1.6×10−19C surrounded by a distribution...
1) Neutral hydrogen can be modeled as a positive point charge
+1.6×10−19C surrounded by a distribution of negative
charge with volume density given by
ρE(r)=−Ae−2r/a0 where
a0=0.53×10−10m is called the Bohr
radius, A is a constant such that the total amount of negative
charge is −1.6×10−19C, and e = 2.718... is the base of
the natural log.
[Hint: Do not confuse the exponential number e with the
elementary charge e which uses the same symbol but has a completely
different...
please answer all connected parts, a,b,c!! 3) (30 points) A hydrogen atom can be modeled as...
please answer all connected parts, a,b,c!!
3) (30 points) A hydrogen atom can be modeled as a point charge nucleus surrounded by a "cloud" of electrons. From our point of view the cloud represents the charge distribution of the electron which is not a point but a smeared out spherical chunk of charge. Let the central charge have a charge of +le] = 1.6x10- Coul. The rest of the charge distribution looks like: (use a = 0.10 nm which is...
2. In the derivation of the energy levels in the hydrogen atom one commonly assumes that the nucleus is a point charge. However, in reality the size of the nucleus is of the order of Im = 10-15m. Sin...
2. In the derivation of the energy levels in the hydrogen atom one commonly assumes that the nucleus is a point charge. However, in reality the size of the nucleus is of the order of Im = 10-15m. Since this is very much smaller than the typical distance of the electron from the nucleus, which is of the order of a0-0.5A = 0.5 × 10-10m, the finite size of the nucleus can be taken into account perturbatively. (a) Assume that...
BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point...
BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point particle orbiting the nucleus at a distance of Og . 5.3. 10-11 m Reality is not so simple, however. The charge of the electron is distributed around the nucleus in a spherically symmetrie, nonuniform manner. (ais merely the most probable distance between the electron and the nucleus.) In this problem, we will explore the electric fields within a hydrogen atom using Gauss' law. Treat...
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...
Hydrogen Atom electron proton We want to know the electric field due to the proton in...
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
2. A proton with charge gp 1.6 x 10 19C and mass M, is accelerated through...
2. A proton with charge gp 1.6 x 10 19C and mass M, is accelerated through a potential difference V. The proton then enters a region of con stant magnetic field B oriented perpendicular to its path. In this region, the proton's path is circular with radius Rp Another particle with the same charge as the proton but a different mass M, follows under the same conditions. Its radius R., is 1.4 times as large as Rp. what is the...
The charge on an electron is e=−1.6×10−19 C. The charge on a proton is equal in...
The charge on an electron is e=−1.6×10−19 C. The charge on a proton is equal in magnitude, but positive. The electron's mass is 9.11×10−31 kg. A) In an atom the electric the proton and electron are seperated by 1.0×10−19m. What is the acceleration of an electron of an electron at that distance? B) What is the electric field magnitude due to the proton at the electron's location?
The average distance of the electron from the proton in the hydrogen atom is 0.65 ×...
The average distance of the electron from the proton in the hydrogen atom is 0.65 × 10 −10 m. What is the electric field from the proton’s charge at the location of the electron? ( ke = 8.99 × 10 9 N ⋅m 2/C 2, e = 1.6 × 10 −19 C)
A hydrogen atom is at the earth’s surface. The electron and proton in the atom are...
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
1) Neutral hydrogen can be modeled as a positive point charge
+1.6×10−19C surrounded by a distribution of negative
charge with volume density given by
ρE(r)=−Ae−2r/a0 where
a0=0.53×10−10m is called the Bohr
radius, A is a constant such that the total amount of negative
charge is −1.6×10−19C, and e = 2.718... is the base of
the natural log.
[Hint: Do not confuse the exponential number e with the
elementary charge e which uses the same symbol but has a completely
different...
please answer all connected parts, a,b,c!!
3) (30 points) A hydrogen atom can be modeled as a point charge nucleus surrounded by a "cloud" of electrons. From our point of view the cloud represents the charge distribution of the electron which is not a point but a smeared out spherical chunk of charge. Let the central charge have a charge of +le] = 1.6x10- Coul. The rest of the charge distribution looks like: (use a = 0.10 nm which is...
2. In the derivation of the energy levels in the hydrogen atom one commonly assumes that the nucleus is a point charge. However, in reality the size of the nucleus is of the order of Im = 10-15m. Since this is very much smaller than the typical distance of the electron from the nucleus, which is of the order of a0-0.5A = 0.5 × 10-10m, the finite size of the nucleus can be taken into account perturbatively. (a) Assume that...
BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point particle orbiting the nucleus at a distance of Og . 5.3. 10-11 m Reality is not so simple, however. The charge of the electron is distributed around the nucleus in a spherically symmetrie, nonuniform manner. (ais merely the most probable distance between the electron and the nucleus.) In this problem, we will explore the electric fields within a hydrogen atom using Gauss' law. Treat...
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
2. A proton with charge gp 1.6 x 10 19C and mass M, is accelerated through a potential difference V. The proton then enters a region of con stant magnetic field B oriented perpendicular to its path. In this region, the proton's path is circular with radius Rp Another particle with the same charge as the proton but a different mass M, follows under the same conditions. Its radius R., is 1.4 times as large as Rp. what is the...
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
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