Quantum Mechanics Answers

Is it possible with a quantum computer and an infinite energy source to separate time from space. What my theory is is that if an object occupies not only space but also time in that space. If you were able to swap that occupied space/time with unoccupied space/time, could it be done and how?

Obtain the most probable value and expectation value of r for the ground state of a hydrogen atom.

Let A and B be vector operators. This means that they have certain
nontrivial commutation relations with the angular momentum opera￾tors. Use those relations to prove that A·B commutes with Jx, Jy, and
Jz.

Find the probability distributions of the orbital angular momentum
variables L2 and Lz for the following orbital state functions:
(a) Ψ(x) = f(r) sin θ cos φ,
(b) Ψ(x) = f(r)(cos θ)2,
(c) Ψ(x) = f(r) sin θ cos θ sin φ.
Here r, θ, φ are the usual spherical coordinates, and f(r) is an arbitrary
radial function (not necessarily the same in each case) into which the
normalization constant has been absorbed

Answer in 3 to 4 sentences

1. why can't we see matter as a particle and a wave?
2. use a similar example to explain the wave particle duality?

In a sine wave the equation if it is travelling in positive x axis is

summarize Bohr's idea about measurements of a quantum object

Calculate the debroglie wavelengths for the particles
A. Alpha particle accelerated 10mev
B. Electron is silicon crystal with average velocity corresponding to T=300

12. A minimum force 5N is required to make a body of mass 2kg move on a horizontal floor. But a force 4N is required to maintain its motion with a uniform velocity. Calculate coefficient of static friction and coefficient of kinetic friction.
13. A box of mass 70 kg is pulled by a horizontal force of 500 N on the surface of the floor. When the box moves, the co-efficient of friction between the floor and the box is 0.50. Calculate the acceleration of the box.
14. The mass of metal sphere is 6g. it is rotated 4times per sec by fastening it at the end of a thread length 3m. What is its angular momentum?
15. A wheel weighing 5kg and radius of gyration about an axis is 0.2m. What is its moment of inertia? In order to produce angular acceleration of 2rad/s in the wheel. What magnitude of torque is to be applied?

1. The amplitude and frequency of an object executing simple harmonic motion are 0.01 m and 12 Hz respectively. What is the velocity of object at displacement 0.005 m? What is the maximum velocity of the object?
2. If the length of second’s pendulum is increased by25.6%, find the period of it.
3. The equation of motion of particle executing SHM is