Quantum Mechanics Answers

For a given wave function

Ψ(x, t) =

Find the normalization constant A. Calculate the expectation values< x > and< x2>

A particle is moving in a one dimensional width 25 Armstrong assuming the particle is in its least energy state calculate the probability of finding particle in an interval of 5 Armstrong at the distances of A/2,A/3 and at A where a is the width of the potential well

A 64.0 kg person is riding an elevator as shown in the figure above. The elevator is accelerating upwards at a rate of 0.682 m s⁻². 

For this problem use g = 9.81 m s⁻² 

What is the magnitude of the normal force, the force on the person from the elevator? (in N to 3.s.f)

a rock is thrown horizontally from the top of a cliff 88m high, with a horizontal speed of 25m/s. with what velocity does the rock hit?

calculate the zero point energy of a system consisting of a mass of gm connected to a fixed point by a spring which is stretched 1cm by a force 1000 dynes the particle being constrained to move only along x axis

Normalize the function Ψ = e^-r

Consider an object projected straight upward from z=0 with an initial speed of u. Assume that the object is subjected to a linear drag force of the form D=-mKv

a)From the first principle show that t=1/K In(g+Ku/g+Kv) and use this result to find the time taken to reach the maximum height

b)Find the expression for the speed v as a function of time and find the limiting speed

an electron has a speed of 500m/s accurate to 0.0001% with what fundamental accuracy can we locate the position of the electron?

a mechanical oscilator has initial energy Enot= 50j having a damping coefficient b=1s. Calculate the time required to decrease to E= Enot/e

n a jump spike, Mark Angel slams the volleyball from a height of 2.3 m with a speed of 18 m/s at 24° below the horizontal. How far on the opposite side will the ball land?