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The radial wave function of an orbital is 2(Za0)32eZra0 for H-atom. The wave function is for-(notations have their usual meaning)
A.1s
B. 2s
C. 2p
D. 3p

Answer
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Hint: The wave function for Hydrogen atoms depends upon three variables one of which is θ which gives the electron's angular momentum.

Step-by-Step Solution: We are given the radial wave function of an orbital = 2(Za0)32eZra0
Where r=radius in atomic units, Z= the effective nuclear charge for that orbital in that atom
e=2.718. We have to find the wave function.
The wave function gives crucial information about the electron’s energy, angular momentum and orbital orientation. The wave function for a hydrogen atom depends upon three variables one of which is θ which gives the electron's angular momentum.
And the radial wave function of an orbital = 2(Za0)32eZra0 is for 1s orbital because it gives
p(θ)=12 .

Hence the correct answer is A.

Additional Information: Wave function is a mathematical function represented by φ(psi). Wave function can also be expressed as the product of radial wave function R and angular wave function. The R radial wave function of an atom depends upon the atomic radius only while angular function depends only on direction thus describes the shape of an orbital. Thus we can write-
φ=R×Y

Note: The wave function can be calculated exactly only for atoms with one electron like hydrogen,He+ and other atoms having only one electron. This means that wave function is possible only for said one-electron system which is also described as hydrogenic. Hydrogenic means ‘like hydrogen’. Wave function can be obtained by solving the Schrödinger equation. It explains why there is a single 1sorbital, why there are three 2p orbitals and so on.
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