00:01
So here in this question we are considering about a nuclear scattering experiment.
00:08
So in this experiment we are given a beam whose 4 milli electron volt alpha particles strike on the target which are consisting of the helium gases.
00:21
So basically from here what we can say that basically firstly we are considering about the velocity of the com.
00:31
Com is representing the center of mass.
00:33
So v of cm is equals to m1 u1 dash plus m2 u2 dash that is divided by the m1 plus m2 where m1 and m2 is the mass of the incident and the target particle and u1 dash and u2 dash is basically the velocity of the incident and target particle.
00:53
Substituting the value so v of cm from here is equals to m of u1 dash divided by the m plus m that is equals to m of u1 dash divided by the 2 of m.
01:04
M2 m got cancelled from here so we can say that u1 dash from here is equals to 2 that is equals to v of cm.
01:11
As per the given the lab frame we can say that p1 dash from here is equals to under root 3 divided by the 2 of p1 and in terms of velocity mv1 dash is equals to under root 3 divided by 2 of m of u1 dash.
01:29
So v1 dash from here is equals to under root 3 divided by 2 of u1 dash.
01:35
So collision from here is basically the center of the frame of the masses.
01:41
So here the system is somewhat like this let's say one mass here is m here is m...