Q.

The uncertainties in the velocities of two particles, A and B, are 0.05 and 0.02 m/s respectively. The mass of B is five times that of the mass of A. What is the ratio of uncertainties ΔxAΔxB of their positions?

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Detailed Solution

(Δx⋅m⋅Δv)A(Δx⋅m⋅Δv)B=h/4πh/4π=1ΔxAΔxB=mBmA×ΔvBΔvA=5×0.020.05=2
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The uncertainties in the velocities of two particles, A and B, are 0.05 and 0.02 m/s respectively. The mass of B is five times that of the mass of A. What is the ratio of uncertainties ΔxAΔxB of their positions?