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

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

Solutions

Expert Solution

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

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

genius_generous answered 1 year ago

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