The electrons are more likely to be found

What is Quantum mechanics?

If the position of the electron is measured within an accuracy of $\pm 0.002 \,nm$,calculate the uncertainty in the momentum of the electron. Suppose the momentum of the electron is $\frac{h}{4 \pi \times 0.05 \,nm}$,is there any problem in defining this value?

The uncertainty in the position of an electron $(\Delta x)$ is approximately $100 \ pm$. Calculate the uncertainty in momentum $(\Delta p)$ of the electron in $kg \ m \ s^{-1}$. $[h = 6.626 \times 10^{-34} \ J \ s]$

$A$ table-tennis ball has a mass of $10 \ g$ and a speed of $90 \ m/s$. If the speed can be measured within an accuracy of $4\%$,what will be the uncertainty in speed and position?

Find the uncertainty in the position of an electron which is moving with a velocity of $2.99 \times 10^4 \ cm \ s^{-1}$,accurate up to $0.0016 \%$. (Given,$m_e = 9.1 \times 10^{-28} \ g, h = 6.626 \times 10^{-27} \ erg \cdot s$)