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Question

Which of the following relations is/are correct regarding Hisenberg's uncertainity principle?

A
Δx. (Δp) ≥ h2π
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B
Δx. (Δp) ≥ h4π
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C
ΔE.Δt ≥ h2π
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D
ΔE. Δt ≥ h4π
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Solution

The correct options are
B Δx. (Δp) ≥ h4π
D ΔE. Δt ≥ h4π
Δx. (Δp) ≥ h4π
Δx.m.(Δv)h4π
where Δx = uncertainity in position
Δp = uncertainity in momentum
m = mass of the particle
Δv = uncertainity in velocity
h = Planck's constant
ΔE. Δt ≥ h4π
where ΔE = uncertainity in energy
(Δt) = Uncertainity in time

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