State the expression for Heisenberg.s uncertainty principle.

Options

A. `Delta x Delta p ge (h)/(4pi)`
B. `Delta E Delta r ge (h)/(4pi)`
C. `Delta x Delta p ge (h)/(p)`
D. `Delta E Delta r ge (h)/(p)`

Explanation

`Delta x Delta p ge (h)/(4pi)
b. We know that
`Delta E = m Delta I^(2) = m((Delta x)/(Delta t))^(2)`
`or Delta E -Delta t = m(Delta x^(2))/(Delta t)`
`Delta x Delta p gt (h)/(4pi)`
or `Delta x m Delta V ge (h)/(4pi)`
`rArr Delta x m (Delta x)/(Delta t) ge (h)/(4pi)`
` rArr m (Delta x)/(Delta t) ge (h)/(4pi)`
On compairing (i) and (ii) we get
`delta E = Delta t ge (h)/(4pi)`