Question

The uncertainity in the position of a moving bullet of mass 10 g is 10⁻⁵ m. Calculate the uncertainty in its velocity.

Answer 1

According to uncertainty principle ,
∆x.m∆v = h/4π
∴ ∆v = h/4πm∆x

Here given,
m = 10g = 0.01 kg
∆x = 10⁻⁵ m
h = 6.626 × 10⁻³⁴ J.s

Now, ∆v = 6.626 × 10⁻³⁴/{ 4 × 3.14 × 0.01 × 10⁻⁵ )
= 5.27 × 10⁻²⁸ m/s


Hence, uncertainty in its velocity = 5.27 × 10⁻²⁸ m/s

Answer 2

Answer:

Explanation:

According to uncertainty principle of Heisenberg ,

∆x.m∆v = h/4π                                            [where Δx=uncertainity in position,

∴ ∆v = h/4πm∆x                                         h = planck's constant and π = pi ]

Here given,

m = 10g = 0.01 kg

∆x = 10⁻⁵ m

h = 6.626 × 10⁻³⁴ J.s

Now, ∆v = 6.626 × 10⁻³⁴/{ 4 × 3.14 × 0.01 × 10⁻⁵ )

= 5.27 × 10⁻²⁸ m/s

Hence, uncertainty in its velocity = 5.27 × 10⁻²⁸ m/s