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
A. 1.32 x 10-44Ns B. 3.30 x 10-44Ns C. 1.32 x 10-24Ns D. 3.30 x 10-24Ns
Correct Answer: 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 \( \Delta x. \Delta p \geq h. \\ \text{Thus} 5 \times 10^{-10} \times \Delta p = 6.6 \times 10^{-34} \\ \Delta p = \frac{6.6 \times 10^{-34}}{5 \times 10^{-10}} = 1.32 \times 10^{-24}Ns\\ \text{Therefore Uncertainty in the momentum } = 1.32 \times 10^{-24}Ns \)
