Homework 13 (Due 5/6/16)

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Q13.1

If the uncertainty of measuring the position of an electron is 2.0 Å, what is the uncertainty of simultaneously measuring its velocity? Hint: What formula deals with uncertainty of measurements?

Q13.2

An old small balloon contains some oxygen. The diameter of the balloon is 2.5 X 10^-5 m. What is the uncertainty velocity of an oxygen molecule that is trapped inside.

Q13.3

Which of the wavefunctions below cannot have physical significance in the interval shown? Explain why?

Q13.4

IF a beam of electrons with fixed kinetic energy E is incident on a potential barrier with a height of 6 eV and width of 0.7 nm. with \(E<V\). What is the kinetic energy E of each electron if the tunneling probability or transmittance is 0.001 (i.e. 0.1% of the electrons tunnel through the barrier)?

Q13.5

Identify the similarities and differences between the time-independent Schrödinger equations and the equation governing the law of conservation of energy.