Nuclei Test - 4...

When $${ 10 }^{ 20 }$$ electrons are removed from a neutral metal plate through some process, the charge on it becomes ______

A small quantity of solution containing $$^{24}Na$$ radio-nuclide (half life $$15$$ hours) of activity $$1.0$$ micro-curie is injected into the blood of a person. A sample of the blood of volume $$1\ cm^{3}$$ taken after $$5\ hours$$ shows an activity of $$296$$ disintegrations per minute. Determine the total volume of blood in the body of the person. Assume that the radio active solution mixes uniformly in the blood of the person.
($$1\ curie = 3.7\times 10^{10}$$ disintegrations per second).

Statement 1: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion and
Statement II: For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decrease with increasing Z

A nucleus $$X$$, initially at rest, undergoes alpha-decay according to the equation $$_{92}^{A}X \rightarrow _{Z}^{228}Y + \alpha$$.
The alpha particle produced in the above process is found to move in a circular track of radius $$0.11\ m$$ in a uniform magnetic field of $$3\ T$$. Find the energy $$(ln\ MeV)$$ released during the process and the binding energy of the parent nucleus $$X$$.
Given that $$m(Y) = 228.03\ u; m(_{0}^{1}n) = 1.009u . m (_{2}^{4}He) = 4.003u; m(_{1}^{1} H) = 1.009 u$$.

Binding Energy per nucleon of a fixed nucleus $$X^4$$ is $$6\ MeV.$$ It absorbs a neutron moving with $$KE = 2\ MeV,$$ and converts into $$Y$$ at ground state, emitting a photon of energy $$1\ MeV.$$ The Binding Energy per nucleon of $$Y$$ ($$in Mev$$) is:

If the binding energy of the electron in a hydrogen atom is $$13.6\ eV$$, the energy required to remove the electron from the first excited state of $${Li}^{2+}$$ is:

In $$Q-26$$, find the initial activity of sample.

A nuclear transformation is denoted by $$X\left( n,\alpha  \right) \ _{ 3 }^{ 7 }{ Li }$$. Which of the following is the nucleus of element $$X$$?

In the nuclear fusion reaction
$$_{ 1 }^{ 2 }{ H }+_{ 1 }^{ 3 }{ H }\rightarrow _{ 2 }^{ 4 }{ He }+n\quad $$ given that the repulsive potential energy between the two nuclei is $$-7.7\times { 10 }^{ -14 }J$$, the temperature at which the gases must be heated to initiate the reaction is nearly (Boltzmann's constant $$k=1.38\times { 10 }^{ -23 }J/K$$)

If $$I$$ excitation energy for the $$H-$$ like (hypothetical) sample is $$24\ eV$$, then binding energy in $$III$$ excired state is: