Find the ground state energy using the variational principle for the given hamiltonian h--" -78(y). use the trial wave function (y)= de ** with a as the variational parameter. (hint: 1 x*e***dx=(24) **2 r(m+; )] two identical particles p and 9 of rest mass m., are moving with velocities and in directions x and -x respectively in the lab frame. calculate the energy of particle p in o's rest frame. (b) .c? (c) me? evaluate (ax)(ap) for a particle having wavefunction w= 101 the structure of potassium chloride is formed by touching the spheres of potassium and chloride with each other. the radius of the potassium atom is d, and radius of chlorine atom is d. both the spheres touch each other to form a simple cubic lattice structure. the packing fraction for this structure is, (a) d'+d, (d,+d) (b) +(4+d) 2(d,+d.) (0 =[land learn ] ( 2. d' + d 3 (d. + d.)

a.   mass number from atomic number

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.