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
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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
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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