Question

Q.13.Why doesHeisenber gun certainty principle holds no importance in our daily life? Calculate the uncertainty in the velocity of a wagon with mass 2000 kg whose position is known to an accuracy of +/-10m.

Answer 1

Answer:

Δv≥2.6375 x $10^{-39}$

Explanation:

Heisenberg's uncertainty principle states that the position and momentum of a particle cannot be found simultaneously without uncertainty.

Mathematically,

Δx.Δp ≥ h/4π.

The value of  h/4π is approximately equal to 0.00000000000000000000000000000000005275.

In our daily, we come across particles with minimum mass in grams.

And when we impart some observable momentum, (say 0.000005 Kg-m/s). It would be meaningless if we compare it with the value of h/4π.

Hence Heisenberg's uncertainty principle does not have any importance in our daily life.

Given mass of the wagon is 2000 Kg.

Its uncertainty in position is ±10 m.

Therefore

(±10).Δp≥h/4π

But momentum is nothing but product of mass and velocity.

(±10)mΔv≥h/4π

(±10)2000Δv≥h/4π

(±20000)Δv≥h/4π

Δv≥h/4π x 1/20000

Δv≥0.00000000000000000000000000000000005275/20000

Δv≥0.000000000000000000000000000000000000002637.5

Δv≥2.6375 x $10^{-39}$