A ball weighing 100g is to be located within 0.1 angstrum.what is the uncertainty in its velocity?
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Answer:
0.527547m/s
Explanation:
According to Heisenberg's uncertainity principle "It is impossible to measure or calculate exactly , both the position and momentum of an object."
The formula of uncertainity principle is given by:
delta (x) * delta (v)=h/4*3.14
where delta (x): is uncertainity in position or change in position
delta (v): is uncertainity in velocity or change in position
Given : m=100g = 0.1kg
Since 1kg=1000g;
x=0.1 angstrom = 10^-11 mt
Since 1 angstrom= 1×10^-11
Placing the value in the formula given above:
(10^-11)* delta(v)=(6.626*10^-11)/ 4*3.14
delta(v)=(6.626 * 10^-11)/(4*3.14*10^-11)
=0.527547m/s
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