An old model of a hydrogen atom has the charge +e of the proton uniformly distributed over a sphere of radius a0, with the electron of charge -e and mass m at its center. (a) What would then be the force on the electron if it were displaced from the center by a distance r # a0? (b) What would be the angular frequency of oscillation of the electron about the center of the atom once the electron was released?

Q: An electron in J. J. Thomson's charge-to-mass apparatus moves perpendicular to a B-field along a…

A: Radius circular path: r = 13.10 cm = 0.1310 m Magnitude of electric field: E = 17.80 kV/m = 17800…

Q: Determine the values of I, and I, that satisfy the following two equations. 9.05 + 3.50/, - 2.90/2 =…

A: Write the first given equation, and resolve it as follows.…

Q: The density of a star measured from the center of a star is equal to Z. a is constant. find the…

A: We assume a hollow sphere of thickness dr at a radius r from the center of planet.  Mass of this…

Q: The position of an electron is given by f= 3.0tî – 4.0t2f+2.0k, wherer is in meter, t is in second.…

A: Given: →r=3t L⏜ -4t2 j ⏜ +2k⏜                 t=2s

Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…

A: The vectors are found to be A→=0.88i^+1.05j^+0.94k^B→=0.95i^-0.91j^-0.86k^ Suppose that the angle…

Q: Find the numeric value of the work done on the gas in (a) Figure P12.4a and (b) Figure P12.4b.

A: Answer (a)We can calculate the work done by the gas using the formula

Q: 8. A particle of mass m and charge e is moving freely in an electromagnetic field with a velocity v.…

A:

Q: If a proton and electron are released when they are 2.0  m apart, find the initial acceleration of…

A: The electron and the proton have the same magnitude of charge, e. The initial Coulomb force between…

Q: An angle's terminal ray begins rotating in the CCW direction, and a circle with a radius of 2.7 cm…

A:

Q: If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of…

A: Mass of electron is me=9.1×10-31 kg The electrostatic force acting between electron and proton is…

Q: An electric dipole with atomic charges +q and -q are fixed to the ends of a rigid neutral molecule…

A: So first of all you did a great job in solving such a complex problem. the only mistake you have…

Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…

A:

Q: If a proton and electron are released when they are 2.0  m apart, find the initial acceleration of…

A: q1=q2=Charge of electron and proton=1.6×10−19me=Mass of electron=9.11×10−31 kgr=Distance between…

Q: 11 SSM If orbital angular momentum L is measured along, say, az axis to obtain a value for L, show…

A:

Q: Some reasoning would lead to the conclusion that C must be located to the left of A so that the…

A: QA = +18×10-9 CQB = -27×10-9 CdAB = 0.6dAC = xdBC = x+0.6

Q: Consider the element Hydrogen. In this atom, assume the electron travels with a speed of 6.8 105…

A: given that,speed of electron, v=6.8×105ms

Q: Given that A=ax + ay + az and B = aax+ay + az if A and B are normal to each other, a is

A: The dot product of two vectors A→ and B→ is:A→.B→=A→B→cosθ………(1)where,θ is the angle between these…

Q: The dielectric constant of a helium gas at NTP is 1.0000584. Calculate the electron polarizability…

A: The given values with suitable variables are listed below. Here, ɛ0 denotes the permittivity of…

Q: A 2.5x6 m rectangular plate was placed with its edgetowards theX axis as shown in the figure. Aforce…

A: Given: Rectangular plate dimensions = 2.5 x 6 m; Force P 's intensity = 1500 kg;

Q: Determine the velocity of the electron in a positronium atom which is shown in the figure (figure is…

A:

Q: Evaluate the double integral x2 + 3x + 4y dx dy : y=0 Jx=0 Select one: O 22/3 O 12 O 38/3 O 55/2

A:

Q: There is a particle of mass m in the following potential. x a How many useful modes are there? How?

A: Energy for n nodes is given by : n2π2h22ma2

Q: If a proton and electron are released when they are 2.0  m apart, find the initial acceleration of…

A: Coulomb's Law states that; the magnitude of the electrostatic force between two charges q1and q2…

Q: If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of…

A: Given: The distance id d=2 m. Also, The charge on electron and proton is q=1.6X10-19 C. The mass of…

Q: In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å:(a) Estimate the…

A: (a) The formula for the electrostatic potential is:

Q: If G'is a reciprocal lattice vector, the Bragg's law, can be written as- k. G = 0. O 2k. G + k² = 0…

A:

Q: The solution to a problem is represented by the following equation:…

A:

Q: If a particle of mass m is in a potential that is only a function of coordinates, calculate the…

A:

Q: Determine the centroid of the figure below. 200 u 70 E 30 180 70 u TH 102

A:

Q: Calculate the translational energy of an electron in a box of length 100 nm at n=2. Question 9…

A: 9) Given, L=100 nm n=2 Solution Translational energy…

Q: The positions vectors R1 and R2 of the two .7 atoms 1and 2 in a crystal have equal magnitudes. If…

A:

Q: The Hamiltonian of a particle having mass m in one dimension is described by p 1. H = +mox +2µx.…

A: The energy of nth state of harmonic oscillator potential is given by

Q: Find the force between 2C and -1C separated by a distance 1m. (a) -18 X 10^-9 N (b) 18 X 10^9 N (c)…

A: Given charges q1 and q2 are 2C and -1C respectively The distance between them d = 1 m  Let the force…

Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…

A: Given data: Adjacent bond vectors are: A=1.06i+0.8j+1.03kB=1i+-0.92j+-0.95k

Q: Let the mass of the sun be denoted by Ms and its radiative power P. Determine the smallest possible…

A: Consider a dust particle with radius r and density ρ. Determine the mass of the particle. Write the…

Q: A subatomic particle has a relative mass of one, is uncharged, and has a location in the center of…

A: Given data:  Relative mass = 1 Charge on particle = 0 Location the center of atom

Q: For 3-dimensional rotational motion of an electron, the total angular momentum... depends on l and…

A:

Q: The position of an electron is given by * = 3.0tî – 4.0t²j + 2.0k , where r is in meter, t is in…

A:

Q: Use the following label: R, = 3.00 Q, R̟ = 10.0 Q, R3 = 5.00 Q, R, = 4.00 Q, and R$ = 6.00 Q. %3D…

A:

Q: . Determine the velocity of the electron in a positronium atom which is shown in the figure (figure…

A: Given: The radius of the circular path is 2x5.3x10 cm.

Q: A system of particles its reduced mass is given by u moves in & central force F(r). If the…

A: The force on a system of particles with reduced mass u is given by F=-k/r2 where k is a constant. We…

Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…

A:

Q: Q/Find the molecular moment of inertia H20 about the binary spin axis, if you know that O- H = 95.7…

A:

Q: Match the graph shown below with the corect set of m, b and r. 3. 2.5 1.5 1 0.5 0. 0. 0.05 0.1 0.15…

A: Given:- We have given a graph between the T and m  Find:- Correct option  m= 0.80 skgb=1.2…

Q: A solid contains 5 × 1028 atoms/m3 each with a polarisability of 2×10–40 F m2.Assuming that the…

A: Given The polarizability of an atom is α=2×10-40 F·m2. The number of atom is N=5×1028 atoms/m3. The…

Q: Which of the following unit equations is correct? Select one: O a. N-C = V/m O b. N/m = V/C %3D O c.…

A: we know Joule per coulomb ( J/C) is also known as Volt (V) electric field unit is  V/m   = N/C   we…

Q: What exactly is a solid state disc?

A: The solid state drive is much similar to a thumb drive technology. It is a storage device that…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.