Question

À Golf ball has a mass
of 40 g
speed 45 m/s.
if speed can
measured with acuracy of 2 %
calculate
uncertainity in position​

Answer 1

Answer:

Use Heisenberg's uncertainty principle,

e.g., ∆x = h/4πm∆v

Here, ∆x is the uncertainty in position

∆v is the uncertainty in velocity

m is the mass of Particle .

Given, m = 40g = 0.04kg

∆v = 2% of v = 2 × 45/100 = 0.9 m/s

h = 6.626 × 10⁻³⁴ J.s

Now, ∆x = 6.626 × 10⁻³⁴/(4 × 3.14 × 0.04 × 0.9)

= 14.654 × 10⁻³⁴ m

Hence, uncertainty in position = 1.4654 × 10⁻³³ m