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- Radioactivity and nuclear physics
- Substructure of the nucleus
Test prep for ap courses
A typical carbon nucleus contains 6 neutrons and 6 protons. The 6 protons are all positively charged and in very close proximity, with separations on the order of 10
-15 meters, which should result in an enormous repulsive force. What prevents the nucleus from dismantling itself due to the repulsion of the electric force?
- The attractive nature of the strong nuclear force overpowers the electric force.
- The weak nuclear force barely offsets the electric force.
- Magnetic forces generated by the orbiting electrons create a stable minimum in which the nuclear charged particles reside.
- The attractive electric force of the surrounding electrons is equal in all directions and cancels out, leaving no net electric force.
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Section summary
Conceptual questions
Problems&Exercises
Verify that a
mass of water at normal density would make a cube 60 km on a side, as claimed in
[link] . (This mass at nuclear density would make a cube 1.0 m on a side.)
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Find the length of a side of a cube having a mass of 1.0 kg and the density of nuclear matter, taking this to be
.
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Find the radius of a
nucleus.
is a manufactured nuclide that is used as a power source on some space probes.
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(a) Calculate the radius of
, one of the most tightly bound stable nuclei.
(b) What is the ratio of the radius of
to that of
, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than the size of an atom.
(a)
(b)
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The unified atomic mass unit is defined to be
. Verify that this amount of mass converted to energy yields 931.5 MeV. Note that you must use four-digit or better values for
and
.
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What is the ratio of the velocity of a
particle to that of an
particle, if they have the same nonrelativistic kinetic energy?
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If a 1.50-cm-thick piece of lead can absorb 90.0% of the
rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the
rays?
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The detail observable using a probe is limited by its wavelength. Calculate the energy of a
-ray photon that has a wavelength of
, small enough to detect details about one-tenth the size of a nucleon. Note that a photon having this energy is difficult to produce and interacts poorly with the nucleus, limiting the practicability of this probe.
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(a) Show that if you assume the average nucleus is spherical with a radius
, and with a mass of
u, then its density is independent of
.
(b) Calculate that density in
and
, and compare your results with those found in
[link] for
.
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What is the ratio of the velocity of a 5.00-MeV
ray to that of an
particle with the same kinetic energy? This should confirm that
s travel much faster than
s even when relativity is taken into consideration. (See also
[link] .)
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(a) What is the kinetic energy in MeV of a
ray that is traveling at
? This gives some idea of how energetic a
ray must be to travel at nearly the same speed as a
ray. (b) What is the velocity of the
ray relative to the
ray?
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Questions & Answers
What are the factors that affect demand for a commodity
differentiate between demand and supply
giving examples
differentiated between demand and supply using examples
Lambiv
how is the graph works?I don't fully understand
hi guys good evening to all
Lambiv
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
Can I ask you other question?
Shukri
What is different between quantity demand and demand?
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
how do you save a country economic situation when it's falling apart
what is the difference between economic growth and development
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
any question about economics?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
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Source:
OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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