Name: The speed of a certain proton is 0.36 Mm s-1. If the uncertainty in its mo

Question

Name: The speed of a certain proton is 0.36 Mm s-1. If the uncertainty in its momentum is to be reduced to 0.0100 per cent, what uncertainty in its location must be tolerated? 3. The wavefunction of an electron in a linear accelerator is -(cosneikx + (sin/ )e-kx where (chi) is a parameter. 4. (a) What is the probability that the electron will be found with a linear momentum of (b) what form would the wavefunction have if it were 90% certain that the electron had linear momentum + k 5. Locate the nodes of the harmonic oscillator wavefunction with V = 5, (Enter your answers in increasing 6. Assing that the vibrations of a 35Cl2 molecule are equivalent to those of a harmonic oscillator with a 7. For a harmonic oscillator of effective mass 1.21 x 102s kg, the difference in adjacent energy levels (c) Evaluate the kinetic energy of the electron. numerical order.) force constant k 329 N m-1, what is the zero-point energy vibration of this molecule? The mass of a 35c atom is 34.9688 u. is 4.76 ZJ. Calculate the force constant of the oscillator.

Explanation / Answer

Problem 3

dx*dp=0.5h

h= Plank's constant= 6.626e-34 kg*m2*s-1

dx= uncertainty in position

dp= uncertainty in momentum

p=m*dv

dv= uncertainty in velocity= 0.36e6 m*s-1

m= mass of particle= mass of proton=1.673e-27 kg

p= 6.02e-22 and uncertainty is 0.01%

dp= (6.02e-22)(0.01/100)= 6.02e-26 kg*m*s-1

So,

dx=(0.5h)/dp

dx=(0.5*6.626e-34 kg*m*s-1)/6.02e-26 kg*m*s-1

dx=5.50e-9 m or 5.50 nm

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