Who developed the fundamental equation of quantum mechanics?

Uncertainty in position of a $0.25 \ g$ particle is $10^{-5} \ m$. What is the uncertainty in its velocity? (Given: $h = 6.6 \times 10^{-34} \ J \ s$)

Which of the following quantum numbers is not obtained by the solution of the Schrodinger wave equation?

The uncertainty in the position of an electron is $10 \ \mathring{A}$. Find the uncertainty in its velocity.

An electron is moving with a velocity of $600 \, m/s$ with an accuracy of $0.005\%$. The uncertainty in its position will be: ($h = 6.6 \times 10^{-34} \, kg \, m^2 \, s^{-1}$,mass of electron $m_e = 9.1 \times 10^{-31} \, kg$)

Explain the graph of $\psi(r)$ and $\psi^2(r)$ with distance $r$ from the nucleus.