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Chemistry 18 Online
OpenStudy (anonymous):

*Heisenberg's Uncertainty Principle Question*

OpenStudy (anonymous):

My Textbook defines the formula as \[\Delta x \times \Delta(mv) \ge \frac{ h }{ 4\pi }\] What does the \[\Delta (mv)\] stand for, and how can I find it given the uncertainty in velocity, the velocity, and the mass of the object.

OpenStudy (chmvijay):

mv is mass*velocity is nothing but momentum

OpenStudy (chmvijay):

if one is given other can be determined by plunging the known things in that equation

OpenStudy (anonymous):

I am not given delta x :(

OpenStudy (chmvijay):

then what all they gave for you tell me

OpenStudy (anonymous):

Alright, I'll post my problem.

OpenStudy (anonymous):

Use Heisenberg's Uncertainty Principle to calculate the uncertainty in the position of a 546 mg ball moving at a speed of 5.3 m/s if the speed is known to be correct within \[\pm 0.05\] m/s.

OpenStudy (chmvijay):

both mass and velocity aare given u have to find simply delta X , u know h is Planck a constant

OpenStudy (anonymous):

yes, 6.626E-34 J-s

OpenStudy (chmvijay):

yup

OpenStudy (anonymous):

how do i find delta (mv)?

OpenStudy (chmvijay):

here delta mean not exactly the difference ur thinking of its just uncertainty

OpenStudy (anonymous):

How would I find the uncertainty of the momentum?

OpenStudy (chmvijay):

|dw:1377872574743:dw|

OpenStudy (anonymous):

So, in this question, what would delta mv be?

OpenStudy (chmvijay):

delta P

OpenStudy (anonymous):

Like numberwise :P

OpenStudy (chmvijay):

:D

OpenStudy (anonymous):

I'm gonna draw out my work, can you tell if I am correct?

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