Quantum Uncertainty Questions (HUP)

[vintagelover007]

Homework Statement

This is a homework assignment for my Modern Physics Class, I cannot find where to start in my textbook or class notes.

Relevant Equations

There are no equations that appear.

a) Consider a dust grain of mass 0.1µg whose position is known to a distance of 1µm. How precisely can its velocity be known?

b) A company claims to have invented a device that can measure the momentum of objects inside it with extreme accuracy. The device fits within a matchbox, and the claimed precision with which it can measure momentum is δp = ±10^−26kg ms−1 .

Explain why the claimed performance cannot possibly be accurate, and estimate the smallest possible size of a device with such momentum precision, according to laws of quantum physics.

 

[Vanadium 50]

There are no equations that appear.

Really? Anywhere in the book? No equations?
What book is this?

 

[PeroK]

These questions seem to be based on several fundamental misunderstandings of QM and the HUP.

Where did you get these questions?

 

[vintagelover007]

Really? Anywhere in the book? No equations?
What book is this?

There are equations in the book, I just can't find anything close to this problem.