Calculate the uncertainity in velocity of a cricket ball of mass 150 g if the uncertainty in its position is of the order of 1oA. (h=6.6×10−34kgm2s−1)
A
3.5×10−24ms−1
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B
5.809×10−24ms−1
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C
9.077×10−24ms−1
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D
1.908×10−24ms−1
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Solution
The correct option is A3.5×10−24ms−1 Given: m=150g,Δx=1oA=10−10mFrom Heisenberg uncertainty principle,Δx.mΔv≥h4πΔv=h4πΔx.m=6.6×10−344×3.14×10−10×0.150=3.5×10−24ms−1