Who developed quantum mechanics?

If the uncertainty in momentum and uncertainty in the position of a particle are equal,then the uncertainty in its velocity would be given by

What parameters are required to determine the position of an electron? Explain.

When uncertainty in position and momentum are equal, then the uncertainty in velocity is

If the uncertainty in velocity is $\frac{1}{2m} \sqrt{\frac{h}{\pi}}$, then the ratio of uncertainty in position and momentum is (in $: 1$)

Based on Heisenberg's uncertainty principle,the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter $10^{-15} \ m$ is ............. $\times 10^9 \ ms^{-1}$ (nearest integer)
[Given : mass of electron $= 9.1 \times 10^{-31} \ kg$,Plank's constant $(h) = 6.626 \times 10^{-34} \ Js$ ]
(Value of $\pi = 3.14$ )