A proton is accelerated to a velocity of3xx 10^(7) m s^(-1). If the velocity can be measured with a precision of +- 0.5%, calculate the uncertainty in position of proton [h = 6.6 xx 10^(-34)Js, mass of proton = 1.66 xx 10^(-27)kg]

A proton is accelerated to a velocity of3xx 10^(7) m s^(-1). If the ve

1.	A proton is accelerated to a velocity of3xx 10^(7) m s^(-1). If the velocity can be measured with a precision of +- 0.5%, calculate the uncertainty in position of proton [h = 6.6 xx 10^(-34)Js, mass of proton = 1.66 xx 10^(-27)kg]
Answer» <html><body><p><br/></p>Solution :`<a href="https://interviewquestions.tuteehub.com/tag/delta-947703" style="font-weight:bold;" target="_blank" title="Click to know more about DELTA">DELTA</a> v = (0.5)/(100) xx (3 xx 10^(<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>)) ms^(-1) = 1.5 xx 10^(5) m s^(-1)` <br/> `Delta <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> = (h)/(4pi m Delta v) = (6.6 xx 10^(-34) <a href="https://interviewquestions.tuteehub.com/tag/kg-1063886" style="font-weight:bold;" target="_blank" title="Click to know more about KG">KG</a> m^(2) s^(-1))/(4 xx 3.14 xx 1.66 xx 10^(-27) kg xx 1.5 xx 10^(5) ms^(-1)) = 2.11 xx 10^(-13) m`</body></html>