Question

a ball of mass 175 gm moves with a uniform velocity the ball can be located with an error to 5500 A . IF AN EFFORT IS MADE TO DETERMINE the velocity of the ball what is the uncertainty in this measurement

Answer 1

Answer:

Total momentum p=mv=200×10

−3

×30×10

2

×10

−2

m/s

p=6 kg.m/s

Uncertainty in momentum

Δp=

4πΔx

h

Δp=

4π×5000×10

−10

6.62×10

−34

⇒Δp=1.05×10

−28

kg.m/s

On comparing with total momentum p

p

Δp

=1.75×10

−29