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Product of uncertainity in position and uncertainity in velocity for particle is equal to  10−912.57 . What will be the product of Debroglie wavelength and velocity for the same particle(All measurements in SI system)

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answer is 4.

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Detailed Solution

Δx.Δv = h4πmGiven h4πm = 10−912.57 −−−(1)We know λ = hmv  and  h= mλVλmV4πm=10-912.57λV=4π×10-912.56λV = 10−9  [4π12.56=1]
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