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.)

How many dots must be added to the symbol to properly represent a standard nitrogen ion? a) 1 b) 3 c) 5 d) 8

First, launch the video below. you will be asked to use your knowledge of physics to predict the outcome of an experiment. then, close the video window and answer the question at right. you can watch the video again at any point. part a as in the video, we apply a charge +q to the half-shell that carries the electroscope. this time, we also apply a charge –q to the other half-shell. when we bring the two halves together, we observe that the electroscope discharges, just as in the video. what does the electroscope needle do when you separate the two half-shells again? view available hint(s) as in the video, we apply a charge + to the half-shell that carries the electroscope. this time, we also apply a charge – to the other half-shell. when we bring the two halves together, we observe that the electroscope discharges, just as in the video. what does the electroscope needle do when you separate the two half-shells again? it deflects more than it did at the end of the video. it deflects the same amount as at end of the video. it does not deflect at all. it deflects less than it did at the end of the video. submit

The number of passengers who arrive at the platform of a subway station for the 10 am train is a random variable with a mean of 120 and a variance of 16. find the lower bound of the probability that there will be between 100 and 140 passengers (round off to second decimal place).