Q. 39

Table-tennis ball

Answer :

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


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