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Question

The uncertainty in the velocity of a cricket ball of mass 100 g, when uncertainty in its position is of the order of 1 oA, would be :

A
5.27×1024 ms1
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B
2.35×1023 ms1
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C
3.16×1022 ms1
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D
8.51×1024 ms1
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Solution

The correct option is A 5.27×1024 ms1
According to Heisenberg uncertainty principle,
Δx×mΔVh4π
Where, Δx = uncertainty in position
ΔV = uncertainty in velocity
Here,
Δx=1×1010 m
mass (m) = 0.1 kg

ΔV6.626×10344×3.14×0.1×1010 m sec1
ΔV5.27×1024 m sec1

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