Quantum Mechanics Answers

Consider H cap=(p_x) ^2/2+x²/2+x×(p_x) , find out the eigen energy state of Hamiltonian

A particle of mass m and zero energy has a wave function Ψ (x)= Nx exp -x^2/16 , where

N is a constant. Determine the potential energy V (x) for the particle.

If a light with a frequency of radiation of 8×10^14 Hz is shone on metal and photoelectron are ejected with a maximum kinetic energy of 1.6×10^-19 J, what is work function of the material ?

He+: Using Bohr’s model, give the expression for the energy levels in the He+ ion.

(a) What is the binding energy of this ion?

(b) Give the expression of line spectrum for this ion in terms of the Rydberg constant.

(c) What is the longest wavelength for the first four series of this line spectrum.

Determine the wavelength of proton that has been accelerated through a pd of 200V.

A stone falls freely from the top of a cliff into the sea. Air resistance may be ignored. Which graph shows how the acceleration of the stone varies with time as it falls?

14) A particle of mass m moves according to

2 3

x = x + at , y = bt , z = ct , where a, b and c are

constants.(a)Find the angular momentum L

r

at any time. (b) Find the force F

r

, and from it the

torque τ

r

acting on the particle. Verify that these quantities satisfy

dL

r F

dt

= × =τ

What is the explanation (or possible explanation) for why quantum mechanics disappears and classical mechanics emerges for everyday objects?

Both a normal computer and quantum computer use binary code (0s and 1s), so what is the benefit of a quantum computer?

For quantum teleportation to occur, what is required to happen to the original object?