Shapes of Orbitals and Nodes

Q. The wave function for the $1s$ orbital of a hydrogen atom is given by:
${\Psi }_{1s}=\frac{\pi }{\sqrt{2}}{e}^{\left(\frac{-r}{a_0}\right)}$
where, $a_0$ = Radius of first Bohr's orbit
$r$ = Distance from the nucleus (probability of finding the electron varies with respect to it)

What will be the ratio of probabilities of finding the electron at the nucleus to the first Bohr's orbit at $r=a_0$?

1. $e$
2. $e^2$
3. $\frac{1}{e^2}$
4. Zero

Q. The number of radial nodes in $5d$ orbital is:

1. $0$
2. $1$
3. $2$
4. $3$

Q.

Which pair of quantum numbers determine the energy of an electron in an orbital?

1. n and l

2. n and m

3. n and m_s

4. l and m

Q. The nodal plane(s) for $d_{x^2-y^2}$ is/are:

1. $x-y=0$
2. $x+y=0$
3. xy plane
4. Both a and b

Q. Which of the following orbitals is non-directional?

1. 3s
2. 4f
3. 4d
4. 4p

Q. the most covalent halide is __ and why?a)AlF3 b)AlCl3 c)AlBr3 d) AlI3

Q. The number of nodal planes in the $p_x$ orbital is/are:

1. One
2. Two
3. Three
4. Zero

Q. What is alpha, beta and Gama hydrogen atoms?

Q.

How Many Radial Nodes Are Present In $4s$ Orbital ?

Q. why is probability density of finding electron maximum at nucleus although nodal plane passes through the centre?

Q. Statement - 1: The number of radial nodes in $3s$ and $4p$ orbitals are not equal.

Statement - 2: The number of radial nodes in $3s$ and $4p$ orbitals depend on $‘n^{\prime }$ and $‘l^{\prime }$ which are different for $3s$ and $4p$ orbital.

1. Statement-1 is True, Statement-2 is True, Statement-2 is the correct explanation for Statement-1.
2. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
3. Statement-1 is True, Statement-2 is False.
4. Statement-1 is False, Statement-2 is True

Q. 64 Structure of s2o8-2

Q. 32. Two hybrid orbitals have a bond angle of 120^° . the percentage of p character in the hybrid orbital is nearly

Q. Total number of radial nodes and angular nodes present in 7p orbitals are:

1. 5 and 0
2. 6 and 1
3. 5 and 1
4. 7 and 1

Q. the period of revolution of an electron in the 1st orbit to that of in the 2nd orbit of H atom is in the ratio of

Q. On which quantum numbers does the orbital angular momentum of an electron in a hydrogen-like atomic orbital depend?

Q. Which of the following orbitals does not have a planar node?

1. 
   $d_{z^2}$
2. 
   $d_{xy}$
3. 
   ​​​​​​​$d_{yz}$
4. 
   $d_{x^2-y^2}$

Q. Plots for $2s$ orbitals are:

$X,Y$ and $Z$ are respectively

1. $\psi$, ${\psi }^2$, $4\pi {\psi }^2{r}^2$,
2. ${\psi }^2$, $4\pi {\psi }^2{r}^2$, $\psi$
3. $4\pi {\psi }^2{r}^2$, ${\psi }^2$, $\psi$
4. ${\psi }^2$, $\psi$, $4\pi {\psi }^2{r}^2$

Q.

The penetration power within a principal quantum number goes like

1. s> p > d > f

2. s < p < d < f

3. s > p < d < f

4. s < p > d > f

Q. Which of the following orbital has 2 radial as well as 2 angular nodes.

1. 3s

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2. 3d
3. 4d
4. 5d

Q. Number of nodal planes (planes of zero electron density) in the $d_{xy}$ orbital is:

1. 1
2. 2
3. \N
4. 4

Q. The nodal plane(s) for $d_{x^2-y^2}$ is/are:

1. $x-y=0$
2. $x+y=0$
3. xy plane
4. Both a and b

Q. Which of the following statements is true regarding $d_{z^2}$ orbital?

1. It is like a single dumbbell along the z axis, with a doughnut like ring around the nucleus on the x-y plane.
2. It has no planar nodes
3. It has two angular nodes
4. All of the above

Q. 5.Why cant sigma Bond be formed between s-d orbitals or p-d orbitals or d-d orbitals?

Q.

A pi-bond is formed by the overlap of:

1. s-p orbitals

2. s-s orbitals

3. p-p orbitals in sidewise manner

4. p-p orbitals in end to end fashion

Q. The correct statement regarding the $4p_y$ orbital is:

1. The number of maxima when a curve is plotted between $4\pi r^2{R}^2\left(r\right)$ vs $r$ is $3$
2. Number of spherical nodes is $3$
3. $xz$ plane acts as a nodal plane
4. Magnetic quantum number must be $-1$

Q.

The $H$-like species $L{i}^{2+}$ is in spherically symmetrical state $S_1$ and one radial node. Upon absorbing light, the ion undergoes transition to state $S_2$. The state $S_2$ has one radial node and it has the same energy as the ground state energy of a $hydrogen$ atom.

The orbital angular momentum quantum number of state $S_2$ is:

1. $0$
2. $1$
3. $2$
4. $3$

Q. The wave function $\left(\Psi \right)$ of $2s$ is given by:
${\Psi }_{2s}=\frac{1}{2\sqrt{2\pi }}{\left(\frac{1}{a_0}\right)}^{\frac{1}{2}}\{2-\frac{r}{a_0}\}{e}^{-\frac{r}{2a_0}}$
At $r=r_0$, radial node is formed. Thus for $2s$, $r_0$ in terms of $a_0$ is:

1. $r_0=a_0$
2. $r_0=2a_0$
3. $r_0=\frac{a_0}{2}$
4. $r_0=4a_0$

Q. n = 3, l = 1, m = –2, s = –1/2 is it possible ? in electronic configuration\backslash

Q. Removal of electron is most difficult from which of the following orbital?