L5 : Nuclear Binding energy per nucleon - Nuclie, Physics, Class 12 Video Lecture - Class 12 | Best Video for Class 12

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with part 5 yet better term which is
known as nuclear binding energy per
nucleon I mean I am trying to generalize
things more until now we are talking
about nuclear binding energy that means
this energy will keep varying with every
atom because the nucleons will keep
changing there now but if I start
defining something called as nuclear
binding energy per nucleon so that means
the number of nucleons parts is going
away now because I am defining it per
nucleon so it becomes more generalized
so how do we define nuclear binding
energy per nucleon it is the average
energy per nucleon needed to separate a
nucleus into its individual nucleons
that is how I explained you between the
previous slide also right it is nothing
but the amount of energy which is needed
if you want to separate the nucleons
from each other now there was a an
experiment experimental there was a
graph which was plotted between the
binding energy per nucleon and the mass
number and the binding energy per
nucleon was calculated for all elements
of the periodic table and then a graph
was plotted of for that binding energy
per nucleon with the mass number and
then this kind of a plot was observed so
what what do you conclude from this plot
or what what can you see from this plot
so there are main little basically three
things which we observe yet if you see
initially the graph is increasing after
that the graph becomes almost constant
for quite a long time and then again
after some time towards the end of the
curve you see it starts decreasing right
so that means this binding energy per
nucleon remains constant for in this
middle portion of the graph right so
what are our conclusions from
this graph now how to denote binding
energy per nucleon it is generally
denoted by EB n so whenever you have
only EB that is binding energy so what
is the first thing that we observe here
so the first observation is that the
binding energy per nucleon is less for
lesser mass numbers so if you see in the
lower half the binding energy is very
less right now if you say this middle
range here you see that the binding
energy is constant there is not much
variation in the binding energy but
again if you look at the higher end the
binding energy again starts decreasing
so that means this binding energy is
less for lesser atomic number and also
the binding energy is less for very high
mass numbers and the second conclusion
is that the binding energy per nucleon
is independent of mass number that means
it is constant it is independent of mass
number in this range that is the middle
range so that is the mid range in the
mid range it is independent of mass
number so this was the observation by
plotting this graph so this graph was
plotted experimentally I mean wanted the
scientists do they actually took every
element and they calculated the binding
energy per nucleon for every element and
then they plotted this graph and with
respect to their mass numbers and then
they found this so now the point is why
is this variation I mean why is the
binding energy less for lesser mass
numbers and what is its consequence
similarly why is it less for higher mass
numbers and why is it constant in the
middle so we will look at each of these
cases one by one thank you please visit
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