Question

a golf Ball has a mass of 40gm and speed 45m/s if thè speed can be measure within 2percentage accuracy calculate the uncertinity in the position​

Answer 1

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

hope this answer helpful u

Answer 2

Hope help full for yoi