Quantum Mechanics Answers

Suppose that the momentum of a certain particle can be measured to an accuracy of one part in a thousand, Determine the minimum uncertainty in the position of a particle if the particle is (a) a 5 x 10-3 Kg mass moving with a speed of 2 m/s, (b) an electron moving with a speed of 1.8 x 108 m/s

the work function of cesium is 1.96 eV. If radiation of wavelength 4.00 x 10^2 nm is incident on the surface, find the kinetic energy of the ejected photoelectrons in eV and the speed of the ejected electrons

Consider the 1s state of hydrogen, calculate the probability of finding the electron in the region given below: 0<=r <= 0.5a0

A particle of mass 'm' is located at the vector position r and has a linear momentum p. The vector r and p are nonzero.if the particle moves only in y-z plane.Prove that Ly=Lz=0 and Lx is not equal to zero.

Plank's equation is E= hf f= E/h E-energy = ½mv², h- plank's constant, f - frequency. λf = v λ= v/ f = vh/ E = 2h/p P- momentum = mv

but de broglie equation is λ = h/p. Why?

A parallel beam of electrons traveling in x direction falls on a slit of width d. After passing the slit an electron acquires momentum P(y) in the y direction then for a majority of electronselectrons passing through the slit (h is the Planck's constant )-
(a) |P(y)|d >h
(b) |P(y)|d >>h
(c) |P(y)|d = h (nearly equal)
(d) |P(y)|d < h

A copper piece of mass 140 g and of temperature 240◦C is placed into 360 g of
water at temperature 25◦C. Find the final equilibrium temperature. Neglect the heat
losses to the environment.?

A subatomic particle with an average lifetime of 2.1x10^(-9)s at rest is placed into a particle accelerator, and is made to move at 2.6x10^(8) m/s. Calculate the average lifetime of the particle in the accelerator.

Question 5. Calculate the probability that an electron in the ground state of the Hydrogen
atom is outside the classically allowed region, i.e. (r > 2a0).

a freight train moving at an initial speed of 40 m/sec puts on its brakes, producing a deceleration of 0.50 m/sec. a. how long will it take thw train to travel next 100 m ? b. at what speed will it be traveling at the end of this 100 m ?