1.

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 A. What is the ratio of uncertainties `((Delta_(X_A))/(Delta_(X_B)))` in their positionsA. 2B. 0.25C. 4D. 1

Answer» Correct Answer - A
According to Heisenberg
`Deltax xx mDeltav = h/(4pi)`
For particle A
`Deltax=Deltax_A , m=m , Deltav=0.05`
So, `Deltax_Axxmxx0.05=h/(4pi)` .....(i)
For particle B
`Deltax=Deltax_B , m=5m , Deltav=0.02`
So, `Deltax_B xx 5 m xx 0.02 =h/(4pi)` .....(ii)
Eq. (i) (ii) , we get
`(Deltax_A)/(Deltax_B)=2`


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