What is the mmimum uncertainty in the position of a neutron if the uncertainty in its speed is 0.0250 m/s?
According to the Uncertainty principle
Δx * Δp = h/4* π (h= planck's constant = 6.626 *10-34J.s)
Neutron mass (m) = 1.675 * 10-27 Kg
Given Uncertainty in speed (Δv) = 0.0250 m/s
Δp = Δv * m = 0.0250 m/s * 1.675 * 10-27 Kg = 4.1875 * 10-29 Kg.m/s
Δx * Δp = h/4* π
Δx = 6.626 *10-34J.s /(4*(22/7)*Δp) (1J = Kg.m2/s2)
Δx = 6.626 *10-34J.s /(4*(22/7)* 4.1875 * 10-29 Kg.m/s ) = 1.2586 * 10-6 m
The minimum Uncertainty in the position of the neutron is equal to 1.2586 * 10-6 m
What is the mmimum uncertainty in the position of a neutron if the uncertainty in its speed is 0.0250 m/s?
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