Answer
The claim is not valid.
Work Step by Step
The Heisenberg uncertainty principle limits our simultaneous knowledge of position and momentum.
$$\Delta x \Delta p_x \geq \frac{\hbar}{2}$$
Calculate the left hand side based on the scientist’s claim.
$$(0.12\times10^{-9}m) (3.0\times10^{-25}kg\;\cdot m/s)= 3.6\times10^{-35}kg\;\cdot m^2/s $$
This is less than $\frac{\hbar}{2 }$, which means that the claim is not valid.
