Question
In: Physics
4) A nucleus of radioactive radium (226Ra), initially at rest, decays into a radon nucleus (222Rn)...
4) A nucleus of radioactive radium (226Ra), initially at rest, decays into a radon nucleus (222Rn) and an alpha-particle (a 4He nucleus). If the kinetic energy of the alpha-particle is 6.72 × 10^ -13 J, what is (a) the recoil speed of the radon nucleus, and (b) its kinetic energy? The superscripts indicate, roughly, the mass of each nucleus in unified mass units (u), where 1 u = 1.66 × 10^ -27 kg.
Solutions
genius_generous answered 1 year agoRelated Solutions
The radioactive decay of radium 226Ra follows a first-order rate law. This decay process has a...
The radioactive decay of radium
226Ra follows a first-order rate law.
This decay process has a half-life of
1600 years.
(a). What is the
value of the rate constant (expressed in s-1) for this
decay process?
(b). How many
disintegrations per second would occur in a one-gram sample of
226Ra ?
Outside the nucleus, the neutron itself is radioactive and decays into a proton, an electron, and...
Outside the nucleus, the neutron itself is radioactive and
decays into a proton, an electron, and an antineutrino. The
half-life of a neutron (mass = 1.675 × 10-27 kg) outside the
nucleus is 10.4 min. On average, over what distance x would a beam
of 5.55-eV neutrons travel before the number of neutrons decreased
to 75.0% of its initial value? Ignore relativistic effects.
A radioactive nucleus alpha decays to yield a sodium-24 nucleus in 14.8 hours. What was the...
A radioactive nucleus alpha decays to yield a sodium-24 nucleus
in 14.8 hours. What was the identity of the original nucleus? Show
the nuclear equation that leads you to this answer.
Radium-226 (226.025402 amu) decays to Radon-224 with a half life of 1.6x103 years. What volume of...
Radium-226 (226.025402 amu) decays to Radon-224 with a half life
of 1.6x103 years. What volume of Radon gas (at 25
degrees Celsius and 1.0 atm) is produced by 25.0 grams of Radium in
475.0 days?
Radon-222 is a radioactive element that decays from some initial value R0 with a half-life of...
Radon-222 is a radioactive element that decays from some initial
value R0 with a half-life of t = 3.7 days
according to this formula: r = r0(1/2)^ ?⁄?
a basement area is tested and found to have a 222Rn level of 7.2
pCi/L.
They test the basement every few days and get new readings:
Day: 0 2 4 6 8
Value: 7.5 5.2 3.4 2.6 1.7
Can the inspector declare that the radon level is decreasing
with the expected half...
A uranium-238 nucleus at rest undergoes radioactive decay, splitting into an alpha particle (helium nucleus) with...
A uranium-238 nucleus at rest undergoes radioactive decay,
splitting into an alpha particle (helium nucleus) with mass
6.64×10-27 kg and a thorium nucleus with mass 3.89×10-25 kg. The
measured kinetic energy of the alpha particle is 6.73×10-13 J. If
after the decay, the thorium nucleus is observed to move in the
negative z direction. After the decay, what direction did the alpha
particle move? possible answers: Positive x, Negative x, Positive
y, Negative y, Positive z, Negative z. After the...
Radioactive Decays What are the three most common types of radioactive decays? How do they differ?...
Radioactive Decays What are the three most common types of
radioactive decays? How do they differ? Also how many types of
decays are there? Please describe them.
An unstable nucleus with a mass of 16.3 × 10−27 kg initially at rest disintegrates into...
An unstable nucleus with a mass of 16.3 × 10−27 kg initially at
rest disintegrates into three particles. One of the particles, of
mass 4.9 × 10−27 kg, moves along the positive yaxis with a speed of
4.5 × 106 m/s. Another particle, of mass 8.7 × 10−27 kg, moves
along the positive x-axis with a speed of 3.4 × 106 m/s.
a) Find the speed of the third particle. Answer in units of
m/s.
b) At what angle does...
An unstable nucleus with a mass of 16.3 × 10−27 kg initially at rest disintegrates into...
An unstable nucleus with a mass of 16.3 × 10−27 kg initially at
rest disintegrates into three particles. One of the particles, of
mass 4.9 × 10−27 kg, moves along the positive yaxis with a speed of
4.5 × 106 m/s. Another particle, of mass 8.7 × 10−27 kg, moves
along the positive x-axis with a speed of 3.4 × 106 m/s.
a) Find the speed of the third particle. Answer in units of
m/s.
b) At what angle does...
An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of...
An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially
at rest at the origin of a coordinate system, disintegrates into
three particles. One particle, having a mass of
m1 = 1.8 ✕ 10−27 kg,
moves in the positive y-direction with speed
v1 = 5.4 ✕ 106 m/s.
Another particle, of mass
m2 = 8.0 ✕ 10−27 kg,
moves in the positive x-direction with speed
v2 = 3.2 ✕ 106 m/s.
Find the magnitude and direction of the velocity of...
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