Quantum Mechanics Answers

My question(s) are about the first quantum machine,

They said that the chip both vibrated and did not vibrate, but doesnt this contradict the fact that super positions collapse when viewed/measured.... so how could they see/detect that the chip was both vibrating and not vibrating?

Was the superposition viewed by the naked eye or detected some how? And if so how?

Cheers if anyone can help!

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).