Which of the following combination of statements is true regarding the interpretation of the atomic orbitals?
$(1)$ An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum.
$(2)$ For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number
$(3)$ According to wave mechanics, the ground state angular momentum is equal to $\frac {h}{2\pi }$
$(4)$ The plot of $\Psi \,\,Vs\,\,r$ for various azimuthal quantum numbers, shows peak shifting towards higher $r$ value