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

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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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Uncertainity in positionÂ Â Â Î”x = 2.2 m

(a) according to uncertainity principle

Uncertainity in momentumÂ Â Â Î”PÂ Â Â =Â Â Â h / (4Ï€Î”x)

HereÂ Â h = 6.63*10^-34 J.s

plug all values we get

Â Â Â Â Â Â Â Â Â Â Î”PÂ Â Â =Â Â Â 2.39*10^-34 Kg m/s

(b) mass of the ballÂ Â m = 0.045 kg

Â Â Â Â Uncetainity in velocityÂ Â Â Î”VÂ Â Â =Â Â Î”PÂ Â / mÂ Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Î”VÂ Â Â = 5.32*10^-32 Kg . m/s

(c)Â Â mÂ Â = mass of the electronÂ Â Â =Â Â 9.1*10^-31 kg

Uncetainity in velocity of the electronÂ Â

Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Î”VÂ Â Â =Â Â Î”PÂ Â / mÂ Â Â Â Â = (Â Â 2.39*10^-34 Kg m/s ) /(9.1*10^-31 kgÂ Â Â )Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Î”vÂ Â = 2.6210^-4 Kg . m/s

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

Free

70.2K

Verified Solution

Question

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.

Answer & Explanation Solved by verified expert

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