Question

if the uncertainty in position is two times that of momentum for a moving particle then uncertainty in the velocity of the particle is

Answer 1

uncertainity in position is two times that of momentum....

here, delta x = uncertainity in position

delta p = uncertainity in momentum

given delta x = 2 delta p

so, 2 delta p * delta p = h/4pi

(delta p)^2 = h/8pi

we know that p = mv

m^2 v^2 = h/8pi

v^2 = h/8pi m^2

v = 1/2m (h/2pi)^1/2

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