Question

If you know that an electron is inside a 25 cm wide X-ray radiography machine what is the error on the most precise measurement that you could make of its momentum? Planck’s constant is 6.6 X 10-34 m2 kg/s.









Pls give the answer immediately and properly ​

Answer 1

Answer:

32mg

Explanation:

know that an electron is inside a 25 cmX-ray radiography macprecise measurement that you couldhine what is the err

Answer 2

We have given that an electron is inside a 25 cm wide X- ray radiography machine.

We have to find the error on the most precise measurement that we could make its momentum.

Heisenberg's uncertainty principle  :

According to this principle, "the position and the velocity of the object ( or linear momentum) both of an object cannot be measured exactly , at the same time. there must be uncetainty in the postion and linear momentum and it is expressed as  $\Delta x\times\Delta p\geq\frac{h}{4\pi}$ . "

here, uncertainty in the position of electron, Δx = 25cm = 0.25 m

Plank's constant , h = 6.6 × 10⁻³⁴ m²kg/s.

now the uncertainty in the linear momentum , Δp = $\frac{h}{4\pi\Delta x}$

= $\frac{6.6\times10^{-34}}{4\times3.14\times0.25}$ kgm/s

= 2.1 × 10⁻³⁴ kgm/s

Therefore the error on the most precise measure that we could make of its momentum is 2.1 ×  10⁻³⁴ kgm/s.