Question

State heisenberg's principle and express it mathematically

Answer 1

Hi.

In 1927, Warner Heisenberg presented a principle known as Heisenberg uncertainty principle which states that,
“It is impossible to measure simultaneously the exact position and exact momentum of a body as small as an electron. "
The uncertainty of the measurement of the position,
$dx$
And the uncertainty of momentum,
$dp \: or \: dmv$
are related by Heisenberg s principle as

$dx.dp \geqslant h \div 4\pi \\ or \\ dx.dmv \geqslant h \div 4\pi$
Where, 'h' is the Planks constant.
For an electron of mass 'm'
$9.1 \times 10 { - 28}^{?} g$
the product of uncertainty is quite large.
$dx.dv \geqslant 6.626 \times 10 { - 27 \div 4\pi}m$
$\geqslant 6.626 \times 10 { - 27 \div 4 \times 3.14 \times 9.1 \times 10 - 28}^{?}$
$= 0.57 \: erg \: sec \: per \: gram \: approximately$

Answer 2

Answer:

- It states that the position and momentum of microscopic moving particles cannot be determined simultaneously with accuracy or certainty.

Mathematical expression-

Δx×ΔP>or=

4π

h

Δx= uncertainty in the position

ΔP= uncertainty in the momentum

h= Planck's constant.