P is the probability of finding the 1 s electron of the hydrogen atom in a spherical shell of infinitesimal thickness, dr , at a distance, r , from the nucleus. The volume of this shell is 4 π r 2 d r . The qualitative sketch of the dependence of P on r is:

Step-by-step solution

For 1 s , the radial part of the wave function is: Ψ ( r ) = 2 1 a 0 3 2 e - r a 0 Probability of finding an e – in a spherical shell of thickness, ' dr ' at a distance ' r ' from the nucleus: P = Ψ r 2 . 4 π r 2 d r = 16 π r 2 1 a 0 3 e - 2 r a 0 d r So, P is zero at r = 0 and r = ∞ . So, the plot of radial probability function, 4 π r 2 d r . Ψ r 2 V/s r is as shown above.