Introduction to Quantum Mechanical Model

Q.

wnwhat is the difference between a quantum and a photon ?

Q. The maximum number of electrons in an atom in which the last electron filled has the quantum numbers n = 3, l = 2 and m = - 1 is

1. 17
2. 27
3. 28
4. 30

Q. The wave function ${\psi }_{n,l,m}$ is a mathematical function whose value depends upon spherical polar coordinates $(r,\theta ,\varphi )$ of the electron and characterized by the quantum numbers n, l and $m_l$. Here r is distance from nucleus, $\theta$ is colatitude and $\varphi$ is azimuth. In the mathematical functions given in the table, Z is atomic number and $a_0$ is Bohr radius.

For the given orbital in Column-I, the only CORRECT combination for any hydrogen-like species is:

1. (IV) (iv) (R)
2. (III) (iii) (P)
3. (I) (ii) (S)
4. (II) (ii) (P)

Q.

In any subshell, the maximum numbers of electrons having the same value of quantum number is________

Q. 8 why [Cu(NH3)4]2+ is not tetrahedral?it has d9 electron Cu2+ in outer most shell then there is no chance for inner orbital complex because all shell is filled so it suppose to be tetrahedral

Q. Calculate the minimum and maximum number of electrons which may have magnetic quantum number, $m=+1$ and spin quantum number, $s=-\frac{1}{2}$ in chromium $\left(Cr\right)$

1. $1,2$
2. $4,6$
3. $0,1$
4. $2,3$

Q.

Why does the charge to mass ratio of anode rays depend on the gas from which it originates?

Q. The quantum numbers $+\frac{1}{2}$ and $-\frac{1}{2}$ for the electron spin represent

1. Rotation of the electron in clockwise and anticlockwise direction respectively
2. Rotation of the electron in anticlockwise and clockwise direction respectively
3. Magnetic moment of the electron pointing up and down respectively
4. Two quantum mechanical spin states which have no classical analogue

Q. Which of the following statement(s) is/are correct?

1. Radial function [R(r)] a part of wave function is dependent on quantum number n only.
2. Angular function depends only on the direction and is independent of the distance from the nucleus.
3. ${\Psi }^2(r,\theta ,\varphi )$ is the probability density of finding the electron over a given volume
4. Radial distribution function $\left(4\pi r^2{R}^2\right)$ gives the probability of the electron being present at a distance r from the nucleus.

Q. Energy of 2p-orbital of hydrogen atom is greater than 2s-orbital. true or false

Q. Find the quantum number ${}^{\prime }{n}^{\prime }$ corresponding to the state of $H{e}^{+}$ ion, if on transition to the ground state that ion emits two photons in succession with wavelength $108.5$ and $30.4nm$ (take $R_H=1.09\times {10}^{5}c{m}^{-1}$)

Q.

The man who is known as the Father of Experimental Physics is

1. Newton

2. Albert Einstein

3. Galileo

4. Rutherford

Q.

Electron near the nucleus has more energy.But in this chapter I was taught that energy is maximum at infinity. What is the difference between the two?

Q. The wave function ${\psi }_{n,l,m}$ is a mathematical function whose value depends upon spherical polar coordinates $(r,\theta ,\varphi )$ of the electron and characterized by the quantum numbers n, l and $m_l$. Here r is distance from nucleus, $\theta$ is colatitude and $\varphi$ is azimuth. In the mathematical functions given in the table, Z is atomic number and $a_0$ is Bohr radius.

For hydrogen atom, the only CORRECT combination is

1. (I) (i) (P)
2. (II) (i) (Q)
3. (I) (i) (S)
4. (I) (iv) (R)

Q. ntA quantity of electric charge that brings about the deposition of 4.5 gm AL from AL3+ at the cathode will also produce the following volume (STP) of H2 from H+ at the cathoden nt1. 44.8 ltrn nt2. 22.4 ltrn nt3. 11.2 ltrn nt4. 5.6 ltrn

Q. The radii of maximum probability for 3s, 3p and 3d electrons are in the order:

1. $(r_{max}{)}_{3d}>(r_{max}{)}_{3p}>\left(r_{max}{)}_{3s}\right)$
2. $(r_{max}{)}_{3d}>(r_{max}{)}_{3s}>\left(r_{max}{)}_{3p}\right)$
3. $(r_{max}{)}_{3s}>(r_{max}{)}_{3p}>\left(r_{max}{)}_{3d}\right)$
4. None of these

Q. The energy required to dislodge electron from excited isolated hydrogen atom(IE1=13.6eV).
A)=13.6ev B)>13.6 C) <13.6 and >3.4 D)less than or equal to 3.4eV
The answer is D but how if i assume that the electron is at the second energy state(n=2) its energy would be -3.4eV so we should give either 3.4ev or more than that

Q. In a hydrogen atom the de-broglie wavelength of an electron is $1.67nm$. The value of principal quantum number of the electron is: (give the closest interger value)

Q. The quantum number that is no way related to other quantum number is

Q. What is the difference between a quantum and a photon ?

Q.

Which of the following does not obey Aufbau principle and pauli's principle

1. 

2. 

3. 

4. 

Q.

What was the basis for the origin of the concept of an atomic orbital? Define atomic orbital.

Q. Calculate the ratio of the energy of the $n=3$ to $n=1$ transition of the hydrogen atom to the energy of the $n=3$ to $n=1$ transition of $L{i}^{2+}$ ion.

1. $1:3$
2. $1:9$
3. $3:1$
4. $9:1$

Q. What is the range of magnetic quantum number ?

Q.

State the important properties of anode rays.

Q.

What exactly is quantum mechanics?

Q. Quantum theory was postulated by:

1. Rutherford
2. Maxwell
3. Max Planck
4. Becquerel

Q.

What is the number of revolutions of an electron in second bohr orbit of hydrogen atom in one second

Q. The de-Broglie wavelength of a tennis ball of mass $60g$ moving with a velocity of $10m/s$ is approximately (planck's constant, $h=6.63\times {10}^{-34}J-s$)

1. ${10}^{-33}m$
2. ${10}^{-25}m$
3. ${10}^{-31}m$
4. ${10}^{-16}m$

Q. The wave function ${\psi }_{n,l,m}$ is a mathematical function whose value depends upon spherical polar coordinates $(r,\theta ,\varphi )$ of the electron and characterized by the quantum numbers n, l and $m_l$. Here r is distance from nucleus, $\theta$ is colatitude and $\varphi$ is azimuth. In the mathematical functions given in the table, Z is atomic number and $a_0$ is Bohr radius.

For $H{e}^{+}$ ion, the only INCORRECT combination is

1. (II) (ii) (Q)
2. (I) (i) (S)
3. (I) (i) (R)
4. (I) (iii) (R)