Calculate the uncertainty in velocity of a circuit ball of mass `150 g` if the uncertainty in its position is `1 Å (h = 6.6 xx 10^-34 kg m^2 s^-1)`.

Options

A. `3.5 xx 10^-24 m s^-1`
B. `4.5 xx 10^-24 m s^-1`
C. `3.5 xx 10^-24 cm s^-1`
D. `4.5 xx 10^-24 cm s^-1`

Answer

A

Explanation

(a) `Delta x xx m. Delta v ge (h)/(4)`
`m = 150 g = 0.15 kg`
`Delta x = 1 Å = 10^-10 metre`
`h = 6.6 xx 10^-34 kg m^2 s^-1`
`p = 3.14`
`Delta V = (6.6 xx 10^-34)/(0.15 xx 10^-10 xx 4 xx 3.14)`
=`3.5 xx 10^-24 ms^-1`.