If the uncertainty in the measurement of the position of a particle is 5.0 x 10-10m, the uncertainty in the momentum of the particle is
- 1.32 x 10-44Ns
- 3.30 x 10-44Ns
-
1.32 x 10-24Ns
- 3.30 x 10-24Ns
The correct answer is: C
Explanation
From the uncertainty principle the product of the position and momentum of a sub-atomic particle is equal or greater than planck's constant.i.e \( \Delta x. \Delta p \geq h. \\
\text{Thus} 5 \times 10^{-10} \times \Delta p = 6.6 \times 10^{-34} \\
\Delta p = \frac{6.6 \times 10^{-34}}{5 \times 10^{-10}} = 1.32 \times 10^{-24}Ns\\
\text{Therefore Uncertainty in the momentum } = 1.32 \times 10^{-24}Ns \)