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A golfgallhasa massof 40 gand a speedof45 m//sif thespeedcan bemeasuredwithinaccuracyof 2%calculatethe uncertainty inthe position |
Answer» <html><body><p></p>Solution :Uncertainlty invelocity= <a href="https://interviewquestions.tuteehub.com/tag/velocity-1444512" style="font-weight:bold;" target="_blank" title="Click to know more about VELOCITY">VELOCITY</a>`xx %100` <br/> Accordingof Heisenberguncertaintyprincipleuncertaintyin position`Delta x` <br/> `Delta x = (h)/(4pi m Delta <a href="https://interviewquestions.tuteehub.com/tag/v-722631" style="font-weight:bold;" target="_blank" title="Click to know more about V">V</a>)`wherem= 40 gm =`40 xx <a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>^(3) <a href="https://interviewquestions.tuteehub.com/tag/kg-1063886" style="font-weight:bold;" target="_blank" title="Click to know more about KG">KG</a>` <br/>`=(6.626 xx 10^(34) j s)/(4(3.14) (40xx 10^(3)kg) (0.90 <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)))` <br/> `=0.01465 xx 10^(31) j s^(2) m^(-1)kg^(-1)` <br/> `=1.465 xx 10^(33) m:., 1 J = 1 kgm^(2) s^(2)` <br/> thisisnearly`10^(18) ` timessmallerthan thediameterof a typicalatomicnucleus . Asmenthonedearlierfor largeparticle.theuncertaintyprinciplesets so meaningfulimitto theprecisionof measurements .</body></html> | |