Using uncertainty principle it has been explained why we can not apply Quantum
Mechanic on our daily life large objects
The object or particle on which uncertainty principle is applicable will be called a
quantum particle only. The de Broglie wavelength associated with the particle moving
with velocity “v” is given by
λ= h/p %%.(1)
where p is very large for large objects and it is clear from the equation 1 that λ is
inversely proportional to p, so λ becomes too small to be measured as so far we
have no crystal or slit with so small opening in size so that by using it we could obtain a
diffraction
pattern for the waves which are associated with these large objects when they are in
motion.
According to uncertainty principle
∆x×∆ = ħ = h/2π%%%%(2 )
where is the momentum of the particle along the x-axis before entering the slit and
which is zero.
And the momentum of the particle along the y-axis before entering the slit and
which is not zero but will have some value.
Once object has entered into the slit of width D momentum is now no more just along
the y-axis but a component of momentum which is along the x- axis also appears
and P is the resultant of these two vectors and . According to the vector addition
⇀ ⇀ ⇀
rule = +
When a small object like electron is passing through a slit
of width ∆ x, the maximum uncertainty in the position of the
electron becomes equal to ∆ x. and when size of ∆ x becomes comparable to the
wavelength λ associated with moving particle diffraction pattern appears on the screen
on the other side of the slit and in this case ∆ x can never be less than λ and the
minimum value of ∆ x will be equal to λ.
For very large objects according to eqcation 1. Wavelength associated with larger
objects (for example tennis ball, or a small coin) will be much smaller than the
wavelength of the wave associated with smaller objects (for example sub atomic
particles electron, proton and neutron). To apply the uncertainty principal the minimum
possible value of ∆ x must be equal to λ. But is not possible for us to manufacture a
Mechanic on our daily life large objects
The object or particle on which uncertainty principle is applicable will be called a
quantum particle only. The de Broglie wavelength associated with the particle moving
with velocity “v” is given by
λ= h/p %%.(1)
where p is very large for large objects and it is clear from the equation 1 that λ is
inversely proportional to p, so λ becomes too small to be measured as so far we
have no crystal or slit with so small opening in size so that by using it we could obtain a
diffraction
pattern for the waves which are associated with these large objects when they are in
motion.
According to uncertainty principle
∆x×∆ = ħ = h/2π%%%%(2 )
where is the momentum of the particle along the x-axis before entering the slit and
which is zero.
And the momentum of the particle along the y-axis before entering the slit and
which is not zero but will have some value.
Once object has entered into the slit of width D momentum is now no more just along
the y-axis but a component of momentum which is along the x- axis also appears
and P is the resultant of these two vectors and . According to the vector addition
⇀ ⇀ ⇀
rule = +
When a small object like electron is passing through a slit
of width ∆ x, the maximum uncertainty in the position of the
electron becomes equal to ∆ x. and when size of ∆ x becomes comparable to the
wavelength λ associated with moving particle diffraction pattern appears on the screen
on the other side of the slit and in this case ∆ x can never be less than λ and the
minimum value of ∆ x will be equal to λ.
For very large objects according to eqcation 1. Wavelength associated with larger
objects (for example tennis ball, or a small coin) will be much smaller than the
wavelength of the wave associated with smaller objects (for example sub atomic
particles electron, proton and neutron). To apply the uncertainty principal the minimum
possible value of ∆ x must be equal to λ. But is not possible for us to manufacture a
