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What will be the uncertainly in velocity...

What will be the uncertainly in velocity of a cricket ball of 100 g if the uncertainly in its position is `1.65 Å` ?

A

`(10^(-23))/pi ms^(-1)`

B

`(6.6)/pi 10^(-45)ms^(-1)`

C

`4.65xx10^(-43)ms^(-1)`

D

`(10^(-26))/pi ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
According to Heisenberg uncertainty principle,
`Deltax xxmDeltav=h/(4pi)`
`1.65xx10^(-10)xx100/1000xxDeltav=(6.625xx10^(-34))/(4pi)`
`Deltav=(6.625xx10^(-34+10))/(1.65xx4pi)xx10=(10^(-23))/pi m//s`
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