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Please help me with my homework!!!! How to solve this problem? #37 A proton is k

ID: 1724071 • Letter: P

Question

Please help me with my homework!!!! How to solve this problem?
#37 A proton is known to be within an interval +- 6fm (the radius of alarge nucleus ). Roughly what is the minimum uncertainty in its velocity? Treatthis problem as one-dimensional, and express your answer as afraction of c. answer is v>= 0.018c Please help me with my homework!!!! How to solve this problem?
#37 A proton is known to be within an interval +- 6fm (the radius of alarge nucleus ). Roughly what is the minimum uncertainty in its velocity? Treatthis problem as one-dimensional, and express your answer as afraction of c. answer is v>= 0.018c

Explanation / Answer

The uncertainity in position of the proton is            x = 6.0*10-15m We know that           x.mv > h/(4) The minimum uncertainty in its velocity is                   v > h/(4m x)    Here h =6.626*10^-34 Js            m =1.67*10^-27kg             c =3*10^8 m/s On substitution we get                  v = 0.018 c