Uncertainty in position and momentum are equal. Uncertainty in velocity is:

\sqrt{h / π}

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\sqrt{h / 2 π}

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1 / 2 m \sqrt{h / π}

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None of these

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Solution

The correct option is C $1 / 2 m \sqrt{h / π}$
$Δ p . Δ x \geq \frac{h}{4 π}$
Given, $Δ p = Δ x$
$(m Δ v)^{2} \geq \frac{h}{4 π}$
$Δ v \geq \frac{1}{2 m} \sqrt{\frac{h}{π}}$

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