1.

If the uncertainnty in the position of a moving electron is equal to its de Broglie wavelength then moving its velocity will be completely anertain Explain .

Answer» Given that the uncertainty in position `(delta x)` is equal to de Broglie wavelength `(lambda)i.e. Delta x = lambda `
But according to de Broglie equation
`lambda = (h)/(mv) = (h)/(p)`
`or Delta x = (h)/(p)` (Given condition )
According to Heisenbegy uncertainty principle
`(Delta x) (Delta p) ge (h)/(4pi)`
`((h)/(p)) Delta p ge (h)/(4pi)`
`(Delta cancel p)/(cancel p) ge (cancelh)/(4pi xx cancel h)`
`(Delta cancel p)/(cancel p) ge (1)/(4pi)` (constant)


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