A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can be measured within accuracy of 2%, calculate the uncertainty in position

A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can

1.	A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can be measured within accuracy of 2%, calculate the uncertainty in position
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :<a href="https://interviewquestions.tuteehub.com/tag/uncertainty-1436217" style="font-weight:bold;" target="_blank" title="Click to know more about UNCERTAINTY">UNCERTAINTY</a> in speed = 2% of `40 <a href="https://interviewquestions.tuteehub.com/tag/ms-549331" style="font-weight:bold;" target="_blank" title="Click to know more about MS">MS</a>^(-1)`, i.e., `Delta v = (2)/(100) xx 45 xx 0.9 ms^(-1)`<br/> Applying uncertainty principle, <br/> `Delta x (m xx Delta v) = (h)/(<a href="https://interviewquestions.tuteehub.com/tag/4pi-1882352" style="font-weight:bold;" target="_blank" title="Click to know more about 4PI">4PI</a>)` <br/> or `Delta x = (h)/(4pi m Delta v) = (6.626 xx 10^(-34) kg m^(2) s^(-1))/(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> xx 3.14 xx (40 xx 10^(-3) kg) (0.9 ms^(-1))) = 1.46 xx 10^(-33) m`</body></html>