question_answer 125)

  Table-tennis ball has a mass 10 g and a speed of \[90\,\,m\,\,{{\sec }^{-1}}\]. If speed can be measured within an accuracy of 4% what will be the uncertainty in speed and position?

Answer:

  Uncertainty in speed = \[\frac{4}{100}\times 90=3.6m{{s}^{-1}}\] \[\Delta x\Delta \upsilon \ge \frac{h}{4\pi m}\] \[\Delta x\ge \frac{h}{4\pi m\Delta \upsilon }\] \[\ge \frac{6.626\times {{10}^{-34}}}{4\times 3.14\times 0.01\times 3.6}\] \[\ge 1.46\times {{10}^{-33}}m\]