Table-tennis ball has a mass 10 g and a speed of 90 m/s. If speed can be measured within an accuracy of 4% what will be the uncertainty in speed and position?

According to Heisenberg’s uncertainty principle :

“It is fundamentally impossible to determine accurately both the velocity and the position of a particle at the same time.”

Hence ,

Where

From the given problem,

mass of the ball = 4 g and speed is = 90 m /s

hence,the uncertainity of speed is ∆v = 4/100 × 90 = 3.6 m/s

∆x is given by ∆x = h/4πm∆v

Hence , the uncertainity of postion is ∆x = 6.26 × 10^-34 / 4 × 3.14 × 4× 3.6

= 1.46 x 10^-33 m