Calculate the uncertainty in the momentum of an electron if it is confined to a linear region of length `1 xx 10 ^(-10)` metre.

Explanation

We are given that
length of linear regin `= 1 xx 10 ^(-10) m`
We are to calculate the uncertainty in the momentum of an electron.
Using the relation, `Delta x xx Deltap = (h)/( 4pi)`
`Delta p = (h)/( 4pi xx Delta x )`
`Delta p = ( 6.6 26 xx 10 ^(34) kg m ^(2) s ^(-1))/( 4 xx 3. 143 xx 10 ^(-10) m ) = 5. 27 xx 10 ^(-26) kg ms ^(-1)`