Question

In: Physics

A proton is initially at rest at x = d and an electron is initially at...

A proton is initially at rest at x = d and an electron is initially at rest at x = -d. At the same instant they are released. They subsequently

a) fly away from each other.

b)	collide at x = 0.

c)	collide close to x = d.

d)	collide close to x = -d.

e)	orbit each other.

Expert Solution

Proton and electron have charges that are same in magnitude and opposite in sign.

and

Hence these two attract each other and move closer to each other. Since there are no other external forces, the center of mass of the sytem does not move. The charges will mee at finally at the center of mass.

Proton and electron have masses that are in the ratio .

Initial distance between them is

Hence the center of mass of the system is at a distance from proton and at a distance from electron.

and

Hence the final meeting point (center of mass) is very close to the initial position of proton (point ).

Answer

genius_generous answered 2 years ago

A proton collides elastically with another proton that is initially at rest. The incoming proton has...

A proton collides elastically with another proton that is initially at rest. The incoming proton has an initial speed of 4.00e5 m/s. The incoming proton has an initial speed of 4.00e5 m/s and makes a glancing collision with the second proton (at close separations, the protons exert a repulsive electrostatic force on each other). After the collision, one proton moves off at an angle of 30.0 degrees to the original direction of motion and the second deflects at an angle...

An incident x-ray photon is scattered from a free electron that is initially at rest. The...

An incident x-ray photon is scattered from a free electron that is initially at rest. The photon is scattered straight back at an angle of 180∘ from its initial direction. The wavelength of the scattered photon is 8.70×10−2 nm Part A What is the wavelength of the incident photon? λ = m Part B What is the magnitude of the momentum of the electron after the collision? P= _________ kg⋅m/s Part C What is the kinetic energy of the electron...

An electron is initially is at rest in a uniform electric field E in the negative...

An electron is initially is at rest in a uniform electric field E in the negative y direction and a uniform magnetic field B in the negative z direction. Solve the equations of motion given by the Lorentz Force and show the trajectory of the electron is found as: x(t)= (cE / wB) * (wt - sintwt) y(T)=(cE / wB) * (1 - coswt) where w=(eB/mc)

One electron collides elastically with a second electron initially at rest. After the collision, the radii...

One electron collides elastically with a second electron initially at rest. After the collision, the radii of their trajectories are 1.00 cm and 2.50cm. The trajectories are perpendicular to a uniform magnetic field of magnitude 0.0380 T. Determine the energy (in keV) of the incident electron.

An electron and a proton are each accelerated starting from rest through a potential difference of...

An electron and a proton are each accelerated starting from rest through a potential difference of 10 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas.

An electron and a proton, starting from rest, are accelerated through an electric potential difference of...

An electron and a proton, starting from rest, are accelerated through an electric potential difference of the same magnitude. In the process, the electron acquires a speed ve, while the proton acquires a speed vp. Find the ratio ve/vp.

A proton with initial wavelength the same as compton wavelength scatters off an electron( initially at...

A proton with initial wavelength the same as compton wavelength scatters off an electron( initially at rest) and bounces back. find the final energy, kinetic energy, and recoil speed.

A photon of wavelength 0.65037 nm strikes a free electron that is initially at rest. The...

A photon of wavelength 0.65037 nm strikes a free electron that is initially at rest. The photon is scattered straight backward. What is the speed of the recoil electron after the collision?

This is hard!!! Thanks!! A xray photon undergoes Compton scattering from an electron initially at rest....

This is hard!!! Thanks!! A xray photon undergoes Compton scattering from an electron initially at rest. The photon is incident from the left (-x) and is scattered backwards. a.) draw and label a sketch illustrating this collision. The initial photon energy is = 4keV. Assume that the electron energy after the collision Ee is small. b.) What is the initial photon momentum px,i in the x-direction? c.) What is the final photon momentum in the x-direction px,f after the collision?...

Compton Scattering.A photon of wavelength λcollides elastically with a free electron (initially at rest) of mass...

Compton Scattering.A photon of wavelength λcollides elastically with a free electron (initially at rest) of mass m. If the photon scatters at an angle φfrom its original direction of travel, use conservation of relativistic linear momentum and conservation of relativistic energy to derive a mathematical expression for the scattered photon’s wavelength λ’.