Who developed the fundamental equation of quantum mechanics?

The uncertainty in the position and velocity of a particle are $10^{-10} \ m$ and $5.27 \times 10^{-24} \ ms^{-1}$ respectively. The mass of the particle is ............. $kg$. $(h = 6.625 \times 10^{-34} \ JS)$

Choose the correct statement.

In a $He$ atom,the uncertainty in the position of an $e^-$ is equal to the uncertainty in its momentum $\Delta p$. If the value of $\Delta p$ for the $e^-$ is $32 \times 10^5$,then the value of $\Delta p$ for the $He$ atom is .....

An accelerated electron has a speed of $5 \times 10^{6} \ m \ s^{-1}$ with an uncertainty of $0.02 \ \%$. The uncertainty in finding its location while in motion is $x \times 10^{-9} \ m$. The value of $x$ is $......$ (Nearest integer)
[Use mass of electron $= 9.1 \times 10^{-31} \ kg, h = 6.63 \times 10^{-34} \ J \ s, \pi = 3.14]$

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