Table-tennis ball has mass 10g and s peed of 90m/s. if speed can be meausred within an accuracy of 4%. What will be the uncertainly in speed and position?
Correct Answer – B
Uncertainty in the speed of ball `=(100xx10)/100=10m//s
Deltax.mDeltav=h/(4pi)`
Uncertainty in the position,
`Deltax=h/(4pimDeltav)=(6.626xx10^(-34))/(4xx3.14xx10xx10^(-3)xx10)=5.27xx10^(-34)m`
Uncertainty in speed of ball `(Deltav)=(90xx4)/(100)=(360)/(100)=3.6 ms^(-1)`
Uncertainty in position `(Delta x)=(h)/(4pi m Delta v)`
`=((6.626xx10^(-34)”kg” m^(2)s^(-1)))/(4xx3.143xx(10^(-3)”kg”)xx(3.6 m s^(-1)))`
` =1.46xx10^(-33)m`