The Heisenberg uncertainty principle is not valid for

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The product of uncertainty in the position and uncertainty in the velocity of a particle is $5.79 \times 10^{-5} \ m^2 \ s^{-1}$. If the uncertainty in the position is $1 \ nm$, what is the uncertainty in the measurement of its velocity in $m \ s^{-1}$?

The position of both an electron and a helium atom is known within $1.0 \, nm$ and the momentum of the electron is known within $50 \times 10^{-26} \, kg \, m \, s^{-1}$. The minimum uncertainty in the measurement of the momentum of the helium atom is

An electron moves with a speed of $300 \ ms^{-1}$ with an uncertainty of $0.01\%$. Find the uncertainty in its position.

The uncertainties in the velocities of two particles,$A$ and $B$ are $0.05 \ ms^{-1}$ and $0.02 \ ms^{-1}$ respectively. The mass of $B$ is five times that of the mass of $A$. What is the ratio of uncertainties $\frac{\Delta x_A}{\Delta x_B}$ in their positions?