Question

funn
The measurement of the electron position is associated
with an uncertainty in momentum which is equal to
1 x 10-18 g cm s-1. The uncertainty in velocity of
electron (mass of electron is 9 x 10-28g) is​

Answer 1

Answer:

Explanation:

Hey there !

Solution:

Given Information:

Mass of electron = 9 × 10³¹ kg => 9 × 10⁻²⁸ g

Uncertainty in Momentum = 1 × 10⁻¹⁸ g

To find :

Uncertainty in position of the electron

Illustration:

Formula to be used:

Momentum ( p ) = Mass ( m ) × Velocity ( v )

=> Δ p = Δ ( m.v )

We know that mass is constant. So we get,

=> Δ p = m Δ v

So we get,

=> Δ v = Δ p / m

Substituting the values in the above equation we get,

=> Δ v = 1 × 10⁻¹⁸ / 9 × 10⁻²⁸

=> Δ v = ( 1 / 9 ) × 10⁻¹⁸⁺²⁸

=> Δ v = 0.1111 × 10¹⁰ cm/s

=> Δ v = 11.11 × 10⁸ cm/s

Therefore the uncertainty in the velocity of an electron is 11.11 × 10⁸ cm/s.

Hope my answer helped !