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Maximum uncertainty in position of a pro...

Maximum uncertainty in position of a proton is
`6xx10^(-8)m` .Uncertainty in measurement of its velocity will be …….(`h=6.625xx10^(-34))`Js,Mass of proton =`1.67xx10^(-27) kg`

A

`1mms^(-1)`

B

`1ms^(-1)`

C

`1cms^(-1)`

D

`100 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
From Heisenberg.s principle of uncertainty,
Uncertainty in momentum `Deltap=(h)/(2piDeltax)`
`therefore Deltap=(6.625xx10^(-34))/(2xx3.14xx6xx10^(-8))`
`therefore Deltap=0.1758xx10^(-26)`
`therefore mDeltav=0.1758xx10^(-26)`
`therefore Deltap=(0.1758xx10^(-26))/(m)`
`=(0,1758xx10^(-26))/(1.67xx10^(-27))=0.105269xx10^(1)`
Uncertainty in velocity `therefore Deltav~~1.0 ms^(-1)`
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