Question

Problem 2.15
A microscope using suitable photons is
employed to locate an electron in an atom
within a distance of 0.1 Å. What is the
uncertainty involved in the measurement
of its velocity?​

Answer 1

Answer:

According to Heisenberg’s Uncertainty principle: del X del P = h/2pi

m=9.11×10

−31

kg

h=6.626×10

−34

Js

So..,

ΔV≥

4πmΔx

h

ΔV≥

4×3.14×9.11×10

−31

×0.1×10

−10

6.626×10

−34

ΔV≥0.579×10

7

ms

−1

ΔV≥5.79×10

6

ms

−1

Answer 2

Answer:

According to Heisenberg’s Uncertainty principle: del X del P = h/2pi

m=9.11×10

−31

kg

h=6.626×10

−34

Js

So..,

ΔV≥

4πmΔx

h

ΔV≥

4×3.14×9.11×10

−31

×0.1×10

−10

6.626×10

−34

ΔV≥0.579×10

7

ms

−1

ΔV≥5.79×10

6

ms

−1