A tiny dust particle of mass $8.50 \mu \mathrm { g }$ is being observed under a microscope. Its position is determined to be within a space of $0.0060 \mathrm {~mm}$. ( $h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )
(a) Find the uncertainty in its speed implied by the uncertainty in its position.
(b) Assuming the dust particle is moving at the speed in part (a), how many years would it take for the particle to move $1.0 \mathrm {~mm}$ ?

Question

Quizplus · Accepted Answer

The Answer is (a)

2.1 imes 10 ^ { - 21 } \mathrm {~m} / \mathrm { s }

(b)

1.5 imes 10 ^ { 10 } \mathrm { y }

A Tiny Dust Particle of Mass 8.50μg8.50 \mu \mathrm { g }8.50μg

A Tiny Dust Particle of Mass $8.50 \mu \mathrm { g }$