The measurement of the electron position is associated with an uncertainty in momentum which is equal to 1× 10-18 g cm s-1. The uncertainty in electron velocity is

Question

The measurement of the electron position is associated with an uncertainty in momentum which is equal to 1× 10-18 g cm s-1. The uncertainty in electron velocity is (A) 1× 109 g cm s-1 (B) 1× 106 g cm s-1 (C) 1× 105 g cm s-1 (D) 1× 1011 g cm s-1

Tardigrade Admin · Accepted Answer

Given, Δ p=1× 10-18 g cm s-1 (uncertainty in momentum) Mass =9× 10-28g Δ p=m Δ v 1× 10-18=9× 10-28× Δ v(uncertainty in velocity) Δ v=1× 109 cm s-1

Q. The measurement of the electron position is associated with an uncertainty in momentum which is equal to $1 \times 1 0^{- 18} g c m s^{- 1}$ . The uncertainty in electron velocity is

$1 \times 1 0^{9} g c m s^{- 1}$

$1 \times 1 0^{6} g c m s^{- 1}$

$1 \times 1 0^{5} g c m s^{- 1}$

$1 \times 1 0^{11} g c m s^{- 1}$

Given, $Δ p = 1 \times 1 0^{- 18} g c m s^{- 1}$ (uncertainty in momentum)
Mass = $9 \times 1 0^{- 28} g$
$Δ p = m Δ v$
$1 \times 1 0^{- 18} = 9 \times 1 0^{- 28} \times Δ v$ (uncertainty in velocity)
$Δ v = 1 \times 1 0^{9} c m s^{- 1}$

Q. The measurement of the electron position is associated with an uncertainty in momentum which is equal to 1×10−18gcms−1. The uncertainty in electron velocity is

1×109gcms−1

1×106gcms−1

1×105gcms−1

1×1011gcms−1