`A` wave function for an atomic orbital is given as `Psi_(2,1,0)` Recogine the orbital

The wave function of an orbital is represented as psi_(4,2,0) . The azimuthal quantum number of that orbital is

Atomic Orbital wave function

(a) The wave function of an electron in 2s orbital in hydrogen atom is given below: psi_(2s)=1/(4(2pi)^(1//2))(z/a_(0))^(3//2)(2-r/a_(0))exp(-r//2a_(0)) where a_(0) is the radius. This wave function has a radial node at r=r_(0) . Express r_(0) in terms of a_(0) . (b) Calculate the wavelength of a ball of mass 100 g moving with a velocity of 100 ms^(-1) .

The wave function for 1s orbital of hydrogen atom is given by: Psi_(1s)=(pi)/sqrt2e^(-r//a_(0)) Where, a_(0) = Radius of first Bohar orbit r= Distance from the nucleus (Probability of finding the ekectron varies with respect to it) What will be the ratio of probability of finding rhe electron at the nucleus to first Bohr's orbit a_(0) ?