Uncertainty in position is twice the uncertainty in momentum. Uncertainty in velocity is?
Answer (1)
Student Expert
5th Apr, 2020
Let uncertainty is position denoted by (del)x and uncertainty in momentum denoted by (del)p.
(del)x is equal to 2 * (del)p
Or, (del)x * (del)p = h/4 pie
Or, 2 * (del)p^2 = h/4 pie
Then solve it.
(del)p will be equal to (1/root 2*2) * (root over of h/pie).
Then substitute (del)p = m * (del)v since the mass is not uncertain.
Therefore, (del)v will be (1/2*root m) * (root over of h/pie).
(del)x is equal to 2 * (del)p
Or, (del)x * (del)p = h/4 pie
Or, 2 * (del)p^2 = h/4 pie
Then solve it.
(del)p will be equal to (1/root 2*2) * (root over of h/pie).
Then substitute (del)p = m * (del)v since the mass is not uncertain.
Therefore, (del)v will be (1/2*root m) * (root over of h/pie).
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