Schrodinger Equation

Q.

The wave function $\psi$ in the Schrodinger wave equation represents

1. Probability of the electron

2. Amplitude of the wave

3. Frequency of the wave

4. Speed of the wave

Q. 38. Atomic orbital is the wave function of psi for an electron in an atom expain

Q.

A p-orbital has angular as well as radial node.

1. False

2. True

Q. lone pair electron on unsaturated atom do not take part in resonance. what does unsaturated atom mean?

Q. For the $1s$ orbital of the Hydrogen atom, the radial wave function is given as: $R\left(r\right)=\frac{1}{\sqrt{\pi }}{\left(\frac{1}{a_0}\right)}^{\frac{3}{2}}{e}^{\frac{-r}{a_0}}$ (Where $a_0=0.529\stackrel{\circ }{A}$)
The ratio of radial probability density of finding an electron at $r=a_0$ to the radial probability density of finding an electron at the nucleus is given as $(x.e^{-y})$.
Calculate the value of $(x+y)$.

Q. Consider following Schrodinger wave equation for an orbital of hydrogen atom.
$(a_0$ is first Bohr radius)
$\Psi =\frac{\sqrt{2r}}{81a_0^2\sqrt{\pi a_0}}(6-\frac{r}{a_0})e^{\frac{-r}{3a_0}}cos\theta$

$\begin{array}{cccc}& \text{List-I}& & \text{List-II}\\ \left(I\right)& \text{Which orbital is this?}& \left(P\right)& 1\\ \left(II\right)& \text{Number of total node(s)}& \left(Q\right)& 2\\ \left(III\right)& \text{Nodal plane}& \left(R\right)& 3p_z\\ \left(IV\right)& \text{Number of radial node(s)}& \left(S\right)& 3p_x\\ & & \left(T\right)& \text{XY plane}\\ & & \left(U\right)& \text{YZ plane}\end{array}$

Match the correct combination considering List-I and List-II

1. (III), (T) and (IV), (P)
   
   
2. (III), (U) and (IV), (P)
3. (III), (T) and (IV), (Q)
4. (III), (U) and (IV), (Q)

Q.

A permissible solution to the schrodigner wave equation gave an idea of _____ quantum numbers.

1. 1

2. 2

3. 3

4. 4