Homework Statement
Calculate the difference between the binding energy of a nucleus of carbon 12 and the sum of the binding energies of three alpha particles. Assuming the carbon 12 is composed of three alpha particles in a triangular structure, with three effective "alpha bonds" joining them...
Homework Statement
An alpha particle (a helium nucleus, containing 2 protons and 2 neutrons) starts out with kinetic energy of 10 MeV (10*10^6 eV), and heads in the +x direction straight toward a gold nucleus (containing 79 protons and 118 neutrons). The particles are initially far apart, and...
Homework Statement
A plutonium-239 nucleus, initially at rest, undergoes alpha decay to produce a uranium-235 nucleus. The uranium-235 nucleus has a mass of 3.90 x 10-25 kg, and moves away from the location of the decay with a speed of 2.62 x 105 m/s.
Determine the minimum electric potential...
assuming that Delta p = aprroxiamtely p, how can the uncertainty principle, be manipulated in order to achieve the speed of an alpha particle trapped in a nucleus of just say uranium 238 with proton number 92 ? or any other nucleus...what is the main manipulation steps of the formula?would...
Homework Statement
An alpha particle is moving at constant speed in a circle, perpendicular to a uniform magnetic field, making a revolution every 60 nanoseconds.
Its speed is non-relativistic
What is the numerical magnitude of the magnetic field in T ?
Homework Equations
alpha...
Just wondering, why does the alpha particle which is basically just a helium atom have a 2+ charge on it when you write it although the electronic configuration of the alpha particle is exactly the same as a helium atom?
Homework Statement
An alpha particle of energy 5.78 MeV is emitted from a particular nucleus.
Calculate the de Broglie wavelength of the alpha particle. How does it compare
with the nuclear diameter, which is known to be approximately 2x10−14 m.
Homework Equations
E=h/p and E=hf...
Homework Statement
Suppose that I want to compare the Kinetic Energy of an electron to the Kinetic Energy of an alpha particle if they both have the same radius of curvature in a magnetic field.
Homework Equations
qvB = mv^2/r
KE = 1/2 mv^2
The Attempt at a Solution
I am...
Homework Statement
Alpha decay typically involves an alpha-particle of 5-6Mev. How can this be explained using quantum mechanics?
Homework Equations
The Attempt at a Solution
I think I need to work out the potential barrier and then work out how much KE an alpha particle has...
Homework Statement
Use the uncertainty principle to estimate the minimum speed and kinetic energy of an alpha particle confined to the interior of a heavy nucleus.
Homework Equations
delta_p*delta_r = h_bar/2 for minimum momentum
p = mv for non-relativistic particle, the alpha...
Homework Statement
A photon and alpha particle are accelerated from rest through the same potential difference.
After acceleration what is the ratio kinetic energy of alpha particle / kinetic energy of proton?
Homework Equations
I guess I have to use eV = 1/2mv^2
The Attempt at a...
Homework Statement
What energy alpha particle would be needed to just reach the surface of an Al nucleus if its radius is 4fm?
*This problem is found in a section dealing with Rutherford's gold foil scattering experiment, so take it in that context.
Homework Equations
F=(kqQ)/r2
The Attempt...
Homework Statement
In an elastic collision between an alpha particle and an unknown nucleus at rest, the alpha particle was deflected through a right angle and lost 40 percent of its energy . Identify the mysterious nucleus.
Homework Equations...
Homework Statement
An alpha particle (a helium nucleus, containing 2 protons and 2 neutrons) starts out with kinetic energy of 9.5 MeV (9.5106 eV), and heads in the +x direction straight toward a gold nucleus (containing 79 protons and 118 neutrons). The particles are initially far apart...
1. Homework Statement
The alpha particles used by Rutherford had a kinetic energy of 7.7 MeV and, for a head-on collision would get to within a distance of 3×10-14m of the centre of the gold nucleus. However the actual radius of a gold nucleus is approximately 7×10-15m.
2. Homework Equations...
Homework Statement
An alpha (α) particle is the nucleus of a 4He atom and consists of 2 neutrons and two protons bound together. Let's take apart an α particle, step by step, looking at the energy required at each step. To do so, we may want to use the following atomic masses:
4He: 4.0026 u...
1. Through what potential difference (\DeltaV) would you need to accelerate an alpha particle, starting from rest, so that it will just reach the surface of a 15 x 10^(-15) m ^{238}U nucleus?
2. KE = q\DeltaV
E = \gamma_{p}mc²
r = \frac{mv}{qB}
3. Ok, I feel like I am close to what I really need...
CAN ANYONE HELP ME ?
An automatic nucleus initially moving at 500 m/s emits an alpha particle in the direction of its velocity, and the new nucleus shows to 450 m/s. If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u, what speed does the alpha particle have...
Homework Statement
By using the graph attached,
Why high energy alpha particles are emitted by alpha-emitters of short wavelength?
Homework Equations
Transmission Coefficient Equation : T=exp(-2kd)
The Attempt at a Solution
Ain't really sure. Can't really figure out why is...
In Rutherford's scattering experiments, alpha particles (charge = +2e) were fired at a gold foil. Consider an alpha particle with an initial kinetic energy K heading directly for the nucleus of a gold atom (charge = +79e). The alpha particle will come to rest when all its initial kinetic energy...
Homework Statement
A parallel beam of alpha particles with fixed kinetic energy is normally incident on a piece of gold foil.
a) if 100 alpha particles per minute are detected at 20 degrees, how many will be counted at 40, 60, 80 and 100 degrees?
b) If the kinetic energy of the incident...
complete data of question:
a nitrogen nucleus N(A=14,Z=7) bombared with an alpha particle of a certain energy transmutes to an oxygen nucleus(A=17,Z=8) and a proton
a:write a equation for this nuclear reaction
b:find the minimum energy of alpha particle to make this reactin occur
(mass of...
Homework Statement
an alpha particle (charge=+2.0e) is sent at high speed toward a gold nuclues Charge= +79e. What is the electrical force acting on the alpha particle when it is 2.0 times 10^ -14m away from the gold nucleus
Homework Equations
The Attempt at a Solution
its 91 N...
In an electromagnetics question I've been asked to calculate the distance of closest approach of an alpha particle which collides with a lead nucleus, but I've never come across the concept of the distance of closest approach. My book is mute on the subject and google yields nothing but more...
Homework Statement
Which of the following forces is responsible for the scattering of an alpha particle by a gold atom in the Geiger-Marsden experiment?
A. electrostatic force between the alpha particle and the electrons of the gold atom
B. Electrostatic force between the alpha...
"An alpha particle is accelerated in the +x direction through a voltage of 1000V. The particle then moves in an undeflected path between two oppositely charged parallel plates in a uniform magnetic field of 50 mT in the +y direction. (a) If the plates are parallel to the xy plane, what is the...
Here I have a problem:
A 232/92 Uranium nucleus emits an alpha particle with kinetic energy=5.32MeV. What is the final nucleus and what is the approximate mass(in units) of the final atom.
I can write the equation for the reaction, this will give 4/2 He and 228/90 Th. If the alpha particle...
Here I have a problem:
A 232/92 Uranium nucleus emits an alpha particle with kinetic energy=5.32MeV. What is the final nucleus and what is the approximate mass(in units) of the final atom.
I can write the equation for the reaction, this will give 4/2 He and 228/90 Th. If the alpha particle...
An alpha particle is accelerated to a velocity v in a particle accelerator by a potential difference of 1200 V. Which of the following potential differences would be needed to give the alpha particle twice the velocity?
A. 7200 V
B. 4800 V
C. 4100 V
D. 2400 V
E. 1700 V
At first, I...
In the Rutherford scattering experiment a very thin gold foil target is bombarded with a beam of a particles of known kinetic energy. A detector which can be moved on a circle around the target counts the scattered particles. What was the impact parameter of a 4.57 MeV a particle if it was...
Can anyone give some hints on this problem?
This is about current and resistance.
Problem: A steady beam of alpha particles (q= +2e) traveling with constant kinetic energy 20MeV carries a current of 0.25 micro ampere.
(a) If the beam is directed perpendicular to a plane surfece, how many...
I've searched the web madly, but I can't find a thorough explanation of alpha decay.
When a nucleus is unstable, it emits a clump of 2 neutrons and 2 protons, and this is called an alpha particle. Is this right?
As for the 2nd question. Why are alpha particles deadly if ingested? After...