Uncertainty in position of a particle of 25 g in space is `10^(-5)` m. Hence, uncertainty in velocity `(m s^(-1))` is (Planck's constant `h=6.6 xx 10^(-34)Js)`

Options

A. `2.1xx10^(-34)`
B. `0.5xx10^(-34)`
C. `2.1xx10^(-28)`
D. `0.5xx10^(-23)`

Answer

C

Explanation

According to Heisenberg uncertainty principle,
`Deltax. mDeltav=(h)/(4pi)," "Deltav=(6.6xx10^(-34)xx1000)/(4xx3.14xx25xx10^(-5))" "therefore" "Deltav=2.1xx10^(-28)ms^(-1)`