The position of both an electron and a helium atom is known within `1.0 nm` and the momentum of the electron is known within `50 xx 10^-26 kg ms^-1`. The minimum uncertainty in the measurement of the momentum of the helium atom is.

Options

A. `50 kg ms^(-1)`
B. `80 kg ms^(-1)`
C. `80xx10^(-26) kg ms^(-1)`
D. `5.0 xx 10^(-26) kg ms^(-1)`

Answer

D

Explanation

(d) By Heisenberg's uncertainty principle
`Deltax xx Deltap ge (h)/(4pi)`
when the position of electron and helium atom is same and momentum of electron is known within a range, therefore the momentum of helium atom is also equal to the momentum of electron , i.e.
`5xx10^(-26) kg m s^(-1)`