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A ball has a mass of 40gm and a speed 45m/s . if the speed can be measured within accuracy of 2%.Calculate the uncertainty in the position?
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A ball has a mass of 40gm and a speed 45m/s . if the speed can be meas...
The uncertainty in the speed is 2%, i.e.,

45 x 2/100=0.9ms^-1 .

Using the equation (2.22)

Δx = h/4πmΔv = (6.626 x 10^-34 Js)/(4x3.14x40gx10^-3kg g-1(0.9m s^-1))

= 1.46 x 10^-33 m

This is nearly ~ 10^18 times smaller than the diameter of a typical atomic nucleus. As mentioned earlier for large particles, the uncertainty principle sets no meaningful limit to the precision of measurements. 
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A ball has a mass of 40gm and a speed 45m/s . if the speed can be measured within accuracy of 2%.Calculate the uncertainty in the position?
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