Quantum Mechanics Answers

Consider the wave function 𝜓(𝑥) = 𝐴𝑐𝑜𝑠 𝑘𝑥 where A, k are constants. Is this the eigenstate of the operators 𝐻̂, 𝑝̂, 𝑝̂ 2 of a particle moving in a potential-free region. If so find the eigenvalues.

what is photon

a)If the work function foe a metal is 1.85 ev, what would be the stopping potential for light having a wavelength of 410 nm? b) what would be the maximum speed of the emitted photoelectrons at the metals surface?

Hypervelocity bullet used in 0.22 long rifle usually weigh around 2.1 g and can have a speed of 550 m/s. what must be the speed of a 75 kg man to match the momentum of this bullet?

The Hamiltanion due to interaction of particle of spin S with a magnetic field B is 

given by H=-S.B . Where S is the spin.Calculate the commutator [S,H]?

a charge Q of mass M is placed at distance D from infinite length of wire of lemda charge density .then its slightly displaced from equilibrium . its motion will be SHM or NOT.

In a nuclear reactions, the mass of the products was determined to be less considerable than the mass of the reactants. Explain 

A wave is propagated in a waveguide at frequency of 9 GHz and separation is 2 cm between walls find cut off wavelength for dominant mode.

Obtain expression for escape velocity?

Explain the energy for one dimensional harmonic oscillator.