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30/09/2020 4:20 pm
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The uncertainties in the velocities of two particles, A and B are 0.05 and 0.02 ms–1 respectively. The mass of B is five times to that of the mass of A. What is the ratio of uncertainties ΔxA/ΔxB in their positions?
(a) 2
(b) 0.25
(c) 4
(d) 1
1 Answer
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30/09/2020 4:25 pm
(a) 2
Explanation:
Using the relation,
Δx.Δv = h/4πm
[Heisenberg' uncertainty principle]
or ΔxA = h/4π x 0.05 x m .....(i)
ΔxB = h/4π x 0.02 x 5m .....(ii)
Dividing (i) by (ii), we get
ΔxA/ΔxB = 0.02 x 5/0.05 = 10/5 or 2