Question

the uncertainty in position of an electron is equal to its de-Broglie wavelength. the minimum percentage error in its measurement of velocity under this circumstancewill be approximately?​

Answer 1

Answer:

Hi friend

Hope this answer helps you

Explanation:

The uncertainty in position is equal to de Broglie wavelength.

⟹Δx=λ=

mv

h

....... (1)

The Heisenberg's uncertainty principle is ΔxΔv≥

4πm

h

...... (2)

From equations (1) and (2),

(

mv

h

Δv≥

4πm

h

)

Thus,

v

Δv

≥

4π

1

Hence, minimum percentage error =

v

Δv

×100=

4π

100

=7.96≈8.