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
Verified Correct Answer: C.
Physical Principles & Numerical Solution
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 \( \Delta x. \Delta p \geq h.\)
\(\text{Thus} 5 \times 10^{-10} \times \Delta p = 6.6 \times 10^{-34}\)
\(\Delta p = \frac{6.6 \times 10^{-34}}{5 \times 10^{-10}} = 1.32 \times 10^{-24}Ns\)
\(\text{Therefore Uncertainty in the momentum } = 1.32 \times 10^{-24}Ns \)
Source: Myschool Past Questions Archive (Record #41458)