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: Option 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 )