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An object is moving along a straight line, and the uncertainty in its position is 2.20...

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Physics

An object is moving along a straight line, and the uncertaintyin its position is 2.20 m. (a) Find the minimum uncertainty in themomentum of the object. Find the minimum uncertainty in theobject's velocity, assuming that the object is (b) a golf ball(mass = 0.0450 kg) and (c) an electron.

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4.2 Ratings (498 Votes)

Uncertainity in position    Δx = 2.2 m

(a) according to uncertainity principle

Uncertainity in momentum    ΔP    =   h / (4πΔx)

Here   h = 6.63*10-34 J.s

plug all values we get

           ΔP    =    2.39*10-34 Kg m/s

(b) mass of the ball   m = 0.045 kg

     Uncetainity in velocity    ΔV    =   ΔP   / m      

                    ΔV    = 5.32*10-32 Kg . m/s

(c)   m   = mass of the electron    =   9.1*10-31 kg

Uncetainity in velocity of the electron  

     

                              ΔV    =   ΔP   / m      = (  2.39*10-34 Kg m/s ) /(9.1*10-31 kg   )  

                                           Δv   = 2.6210-4 Kg . m/s
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