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

Answers (1)

As per the Heisenberg uncertainty principal, it is not possible to determine the position and velocity of a particle at the same time.

\Delta x.\Delta p\geq \frac{h}{4\pi }

As per the information given in the question.

Mass of the ball = 4g

Speed = 90 m/s

Uncertainty in the speed of ball = \Delta v=\frac{4}{100}\times 90=3.6\; m/s

Uncertainty in position = \Delta x=\frac{h}{4\pi m\Delta v}

6.626\times 10^{-34}/4\times 3.14\times 10\times 10^{-3}\times 3.6

=1.46\times 10^{-33}m

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