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Calculate the product of the uncertainti...

Calculate the product of the uncertainties of displacement and velocity of a moving electron having a mass of `9.1 xx 10^(-28) g`.
Given : `h = 6.626 xx 10^(-34) kg m^2 s^(-1)`
`m = 9.1 xx 10^(-28) g = 9.1 xx 10^(-31) kg`

Text Solution

Verified by Experts

Product of uncertainties,
`Deltax Deltav ge h/(4 pi m) m^2s^(-1)`
`ge (6.626 xx 10^(-34) kg m^2 s^(-1))/(4 xx 3.143 xx 9.1 xx 10^(-31) kg)`
`ge 5.77 xx 10^(-5) m^2 s^(-1)`
`Deltax.Deltav ge 5.77 xx 10^(-5) m^2 s^(-1)`.
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