1.

Suppose that the uncertainty in determining the position of an electron in an orbit is 0.6A what is the uncertainty in its momentum?

Answer»

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Solution :`/_\x=`uncertainty in position of an electron`=0.6A=0.6xx10^(-10)m`
`/_\p`=uncertainty in momentum=?
Heisenberg.s uncertainty principle states that,
`/_\p=h/(4pi./_\x)`
h=planck.s constant`=6.626xx10^(-34)kg m^(2)s^(-1)`
`:./_\p=(6.626xx10^(34)kgcancel(m^(2)s^(-1)))/(4xx3.14xx0.6xx10^(-10)CANCEL(m))`
`=(6.626xx10^(-34)xx10^(10))/(7.536)`
uncertainty in momentum`=0.8792xx10^(-24)kgms^(-1)(or)`
`=8.792xx10^(-25)kgms^(-1)`


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