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Q.

If uncertainties in position and momentum are equal, the uncertainty of velocity is given by :

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a

$zero$

b

$\sqrt{\frac{h}{π}}$

c

$\sqrt{\frac{h}{2 π}}$

d

$\frac{1}{2 m} \sqrt{\frac{h}{π}}$

answer is C.

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Detailed Solution

The uncertainty of velocity is obtained by,

$Δ p = Δ x; (m Δ v)^{2} \geq \frac{h}{4 π}$

$Δ v \geq \frac{1}{2 m} \sqrt{\frac{h}{π}}$

Hence, option C is correct.

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