Question

In: Physics

a) Calculate the acceleration, magnitude and direction, of an electron and a proton individually when put...

a) Calculate the acceleration, magnitude and direction, of an electron and a proton individually when put a distance d = 9 nm away from an infinite line of charge with linear charge density λ = 5 ∗ 10^(−10) C/m

b) Calculate the acceleration, magnitude and direction, of an electron and a proton individually when put a distance d = 9 nm away from an infinite sheet of charge with surface charge density σ = 5 ∗ 10^(−10) C/m^2

Expert Solution

a)

Force on proton or electron is

Electric field due to an infinite line of charge is

For proton charge , mass

Acceleration of proton is

Magnitude of acceleration of proton is

Direction of acceleration of proton is away from the line of charge.

For electron charge , mass

Acceleration of electron is

Magnitude of acceleration of electron is

Direction of acceleration of electron is towards the line of charge.

-----------------

b)

Electric field due to an infinite sheet of charge is

Acceleration of proton is

Magnitude of acceleration of proton is

Direction of acceleration of proton is away from the sheet of charge.

Acceleration of electron is

Magnitude of acceleration of electron is

Direction of acceleration of electron is towards the sheet of charge.

genius_generous answered 2 years ago

5. A proton and an electron are in a uniform electric field with magnitude 45 V/C....

5. A proton and an electron are in a uniform electric field with magnitude 45 V/C. Which particle has the larger magnitude acceleration, and what is the magnitude of the acceleration? (e = 1.6×10−19 C, mp = 1.67×10−27 kg, me = 9.11×10−31 kg) A. the electron, 7.9×1012 m/s2 B. the proton, 4.3×1013 m/s2 C. the proton, 4.3×109 m/s2 D. the electron, 7.9×108 m/s2 E. the electron, 7.9×1010 m/s2 6. A +2q point charge is located at the origin (x =...

Magnitude and direction.

A long straight wire in the horizontal plane carries a current of 50A in north to south direction. Find the magnitude and direction of B at a point 2.5m east of the wire.

A uniform electric field of magnitude E=270V/m is directed in the positive x direction. A proton...

A uniform electric field of magnitude E=270V/m is directed in the positive x direction. A proton moves from the origin to the point (x, y)=(20.0cm, 50.0cm). a) Through what potential difference does the charge move? b) What is the change in the potential energy of the charge field system? c) An electron is released at rest at the origin and it moves in the +x direction. What would be its speed, Vf, after the electron is released from rest and...

Calculate the length of the de broglie wave of an electron and a proton moving with...

Calculate the length of the de broglie wave of an electron and a proton moving with a kinetic energy of 1keV. For what values of kinetic energy will their wavelength be equal to 0.1 nm? me = 9.1.10 31kg, e = 1.602.10-19C, mp = 1.627.10-27 kg

Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of...

Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of 1.70 electron volt (eV). (The electron and proton masses are me = 9.11 ✕ 10−31 kg and mp = 1.67 ✕ 10−27 kg. Boltzmann's constant is kB = 1.38 ✕ 10−23 J/K.) (a) an electron m/s (b) a proton m/s (c) Calculate the average translational kinetic energy in eV of a 3.15 ✕ 102 K ideal gas particle. (Recall from Topic 10 that 1...

Calculate the magnitude and direction of both the equilibrant and the resultant of the following three...

Calculate the magnitude and direction of both the equilibrant and the resultant of the following three vectors: 0.4N at 60°, 0.5N at 30°, and 0.2N at 330° .The object of this experiment is to demonstrate the vector property of forces and to gain experience in the addition of vector quantities.

Calculate how far apart an electron and a proton would have to be for their electric...

Calculate how far apart an electron and a proton would have to be for their electric force to be equal in magnitude to their gravitational force in a hydrogen atom (a distance of 52.9pm). Give the answer in meters. Then convert meters to light-years given that the speed of light is 2.998*108 m/s and a year is approximately 365.2421 days, and a light year is the distance light travels in one year.

Calculate the electric field(magnitude and direction) at the center of a square 52.5 cm on a...

Calculate the electric field(magnitude and direction) at the center of a square 52.5 cm on a side if one corner is occupied by a - 38.8 μC charge and the other three are occupied by - 27.6 μC charges. answer is not 7.3*10^6 or 7.3*10^-7

the magnitude of the charge of the electron is

The magnitude of the charge of the electron is (a) equal to F (b) equal to F/NA (c) equal to 2F/NA (d) equal to NA/F (e) none of these.

(a) Calculate the wavelength of an electron under an acceleration voltage of (i) 200 V, (ii)...

(a) Calculate the wavelength of an electron under an acceleration voltage of (i) 200 V, (ii) 1.5 MeV and (ii) 2.5 GeV. Also, calculate the velocity of electrons moving at these acceleration voltages. How does this velocity compare to the speed of light. If they are comparable to the speed of light, use relativistic effects to calculate the wavelength of electron? (b) If the wavelengths are so small, can one expect the resolution of the TEM made with these energies...