Calculate the minimum uncertainty in velocity of a particle of mass `1.1 xx 10^-27 kg` if uncertainty in its position is `3 xx 10^-10 cm`.

Options

A. `1.5 xx 10^-4 m`
B. `2.5 xx 10^-4 m`
C. `3.5 xx 10^-4 m`
D. `4.5 xx 10^-4 m`

Answer

A

Explanation

(a) `Delta x, Delta v ge (h)/(4 pi m)`
`Delta v ge (h)/(Delta x. 4 pi. M)`
=`(6.6 xx 10^-34)/(3 xx 10^-10 xx 10^-2 m xx 4 xx 3.14 xx 1.1 xx 10^-27)`
=`1.5 xx 10^-4 m`.