With the aid of a suitable example and labelled diagrams write a
detailed note on the physical behaviour of aqueous solutions of
ionic surfactants. Choosing at least three physical properties to
explain clearly the variance in each physical property as a
function of surfactant concentration.
What is the radial distribution function P(r) for a
2pz orbital? What is the probability of finding an
electron in a shell of 1.00 pm thickness at radius 50.0 pm?
What is the radial distribution function P(r) for a
2pz orbital? What is the probability of finding an
electron in a shell of 5.00 pm thickness at radius 60.0 pm?
The radial wave function for the hydrogen atom in
three dimensions is given by
Rnl(r) = 1
r
ρ
l+1e
−ρ
v(ρ)
where v(ρ) = P∞
j=0 cjρ
j
is a polynomial of degree jmax = n−l−1 in ρ whose
coefficients
are determined by the recursion formula
cj+1 =
2(j + l + 1 − n)
(j + 1)(j + 2l + 2)cj
.
(a) For n = 2 write down the allowed values of ml and jmax.
Hence by...