Question

The minimum uncertainity in velocity of a particle of mass 1.1 × 10^-27 kg if uncertainity in its position is 3 × 10-10 cm will be _____ × 10^-4 ms^-1.

Options

• 2.3

• 0.8

• 1.5

• 0.1

Answer 1

The minimum uncertainity in velocity of a particle of mass 1.1 × 10^-27 kg if uncertainity in its position is 3 × 10-10 cm will be 1.5 × 10^-4 ms^-1.

Explanation:

`Delta x * Delta v >= "h"/(4pi"m")`

`Delta v >= "h"/(Delta x * 4pi * "m")`

`= (6.6 xx 10^-34 "kg m"^2 "s"^2)/(3 xx 10^-10 xx 10^-2 "ms"^-1 xx 4 xx 3.14 xx 1.1 xx 10^-27" kg")`

= 1.5 × 10^-4 ms^-1