### 1. Advance Illustration | Atomic & Nuclear Physics | A Proton Splitting a Deutron | by Ashish Arora

In this illustration we’ll analyze a proton

splitting a deutron. here we are given that when a proton of mass em p is fired on a deutron

of mass em d. having binding energy e b. splits into its constituents, we are required to

find the minimum kinetic energy of proton required for this reaction. we can also take

the mass of proton and neutron to be equal. here in this solution here we can see if a

proton having a mass em p is fired on a deutron which is having a mass em d and in this collision

when, the proton is approaching with the speed v p. we can say the maximum possible loss

in kinetic energy of proton will take place when the 2 particles colliding particles will

move together. so after collision if this is the state, before collision, and after

collision say these 2 particles of mass em p plus em d. both of these move together with

the final velocity v f if this is the state after collision then we can say, this is the

case of perfectly inelastic collision in which maximum energy loss will take place. and we

can say after collision if this deutron will transform to d star, where we consider d star

is the excited deutron. so here we can see when proton, reacts with d it transforms d

to d star, here this was at rest this was moving with some initial kinetic energy that

is, half em p v p square. and finally these 2 are moving together with the final kinetic

energy we can write half, em p plus, em d multiplied by v final square. and we can write

by conservation of momentum. here we can write em p v p was the initial momentum of this

proton that should be equal to the final momentum which is em p plus, em d. multiplied by v

final . which gives us the value of final speed with which the 2 particles have moving.

that is equal to em p v p, divided by, em p plus, em d. now in this situation, the maximum

loss in kinetic energy, which takes place here. if it is absorbed by deutron, where

this d star can be written as excited deutron nucleus. and if the absorbed energy is e b

then, this d star will split into its constituents. so, here we can write, if, d star. is, the

excited nucleus. with, absorbed energy. e b. this implies we can write initial kinetic

energy minus e b, should be equal to the final kinetic energy of, the particles and collision.

so in this situation here we can substitute the values like, here k i we can write as,

half, em p v p square. minus e b is equal to final kinetic energy is half. em p plus,

em d multiplied by v final square which is, em p v p upon, em p plus, em d, whole square.

here if we rearrange these terms, we can see. rearranging the terms here we are getting

the value of this can be written as this initial kinetic energy. so this initial kinetic energy

can be written as k i from here also i can take half em p v p square common. so this

will be k i multiplied by 1 minus, em p over em p plus, em d. is equal to e b. and further

simplifying we’ll get the value of initial kinetic energy for, this reaction to take

place in which d will absorb e b amount of energy so that it’ll further split into its

constituents,. then the minimum value of this k i can be given as, this is em p plus, em

d divided by, em d multiplied by, e b, this will be the result of this problem. so this

or more then this any kinetic energy when proton is fired onto a deutron, during reaction

it can absorb energy more then or equal to e b. so it’ll split into its constituents.

## 12 thoughts on “1. Advance Illustration | Atomic & Nuclear Physics | A Proton Splitting a Deutron | by Ashish Arora”

Can't we write (mp+md)/(md) as 3/2 (because it is given mp=mn)?

sir in which concept video you explained this excitation process?

is there any playlist on QED or QCD?

sir should I do your advance illustrations or selected questions from ie irodov????

Sir are resonance dpps good for revision and strengthening my weak topics!??

Does this playslist contains advance illustrations of whole modern physics? Or just atoms and nuclei

Sir if photon and electron have same de Broglie wavelength which have greater total energy….Please explain clearly and reply fast

Sir is there any playlist of jee mains solutions of Modern physics full

Sir can we E=-Q(1+m1/m2) the formula which we used for activation energy?

We can directly write 1/2(uv^2)=Eb

is this what we called threshold energy?

Sir how can we say that energy absorbed (Eb) by deuteron will will be utilised in it’s splitting when deuteron comes back to ground state . I think it can be released as gamma rays while de-exciting and not utilised in splitting deuteron .