JEE Atomic Structure PYQs with Solutions PDF, Download Now

Consider the following spectral lines for atomic hydrogen :
A. First line of Paschen series
B. Second line of Balmer series
C. Third line of Paschen series
D. Fourth line of Bracket series
The correct arrangement of the above lines in ascending order of energy is :

Given below are two statements:
Statement I : When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited hydrogen atoms produce electromagnetic radiation of discrete frequencies.
Statement II: The frequency of second line of Balmer series obtained from He+ is equal to that of first line of Lyman series obtained from hydrogen a tom.

ln the light of the above statements, choose the correct answer from the options given below :

The energy of first (lowest) Balmer line of H atom is x J. The energy (in J) of second Balmer line of H atom is :

Which of the following statements regarding the energy of the stationary state is true in the following one - electron systems?

Given,
(A) $$n = 5, m_{1} = -1$$
(B) $$n = 3, 1 = 2, m_{1} = -1, m_{2} = +\frac{1}{2}$$
The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are:

The energy required by electrons, present in the first Bohr orbit of hydrogen atom to J $$ mol^{-1}C $$ be excited to second Bohr orbit is ______ .
Given $$ R_{H}=2.18\times 10^{-11} $$

The hydrogen spectnun consists of several spectral lines in Lyman series ($$L_{1},L_{2},L_{3}....;L_{1}$$ has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series($$B_{1},B_{2},B_{3}....;B_{1}$$ has lowest energy among Balmer lines). The energy of $$L_{1}$$ is x times the energy of $$B_{1}$$. The value of x is_____ $$\times 10^{-1}$$. (Nearest integer)

The wavelength of spectral line obtained in the spectrum of $$Li^{2+}$$ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is

The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series.
(R = Rydberg constant)

Figure 1. electron probability density for 2s orbital

Figure 2. wave function for 2s orbital

Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1?

The work functions of two metals ($$M_{A}$$ and $$M_{B}$$ ) are in the 1 : 2 ratio. When these metals are exposed to photons of energy 6 eV, the kinetic energy of liberated electrons of $$M_{A}$$ : $$M_{B}$$ is in the ratio of 2.642 : 1. The work functions (in eV) of $$M_{A}$$ and $$M_{A}$$ are respectively.

Identify the INCORRECT statements from the following:

A. Notation $$_{12}^{24}Mg$$ represents 24 protons and 12 neutrons.
B. Wavelength of a radiation of frequency $$ 4.5\times10^{15}s^{-1} $$ is $$ 6.7\times10^{-8} $$m.
C. One radiation has wavelength =$$\lambda_1(900nm) $$ and energy= $$E_{1}$$. Other radiation has wavelength = $$\lambda_2(300nm) $$ and energy= $$E2 \cdot E1 : E_2= 3 : 1$$.
D. Number of photons of light of wavelength 2000 pm that provides 1 J of
energy is $$1.006 x 10^{16}$$.

Choose the correct answer from the options given below:

The wavelength of photon ' A' is 400 nm. The frequency of photon ' B' is $$10^{16}s^{-1}$$. The wave number of photon 'C is $$10^{4}cm^{-1}$$.The correct order of energy of these photons is :

Two positively charged particles m1 and m2 have been accelerated across the same potential difference of 200 keV as shown below.

[Given mass of $$m_{1}$$ = 1amu and $$m_{2}$$ = 4amu]
The deBroglie wavelength of $$m_{1}$$ will be x times of $$m_{2}$$. The value of x is_______(nearest integer)

Given below are two statements : Statement (I) : A spectral line will be observed for a $$2p_{x}\rightarrow 2p_{y}$$ transition.Statement (II) :$$2p_{x}$$ and $$2p_{y}$$ are degenerate orbitals. In the light of the above statements, choose the correct answer from the options given below :

Radius of the first excited state of Helium ion is given as : $$a_0\rightarrow$$ radius of first stationary state of hydrogen atom.

Given below are two statements : Statement (I) : For a given shell, the total number of allowed orbitals is given by $$n^{2}$$. Statement (II) : For any subshell, the spatial orientation of the orbitals is given by -l to +l values including zero. In the light of the above statements, choose the correct answer from the options given below :

Given below are two statements about X-ray spectra of elements : Statement (I) : A plot of $$\sqrt{v}$$($$\upsilon$$ = frequency of -rays emitted) vs atomic mass is a straight line. Statement (II) : A plot of $$\upsilon(\upsilon$$ = frequency of -rays emitted) vs atomic number is a straight line. In the light of the above statements, choose the correct answer from the options given below :

For hydrogen atom, the orbital/s with lowest energy is/are:$$\text{ (A) } 4s \text{ (B) } 3p_x \text{ (C) } 3d_{x^2-y^2} \text{ (D) } 3d_{z^2} \text{ (E) } 4p_z$$  Choose the correct answer from the options given below:

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields? $$A. n = 1, l = 0, m_{1}=0 B.n = 2,l = 0, m_{1}=0 C.n = 2,l = 1, m_{1}=1 D.n = 3,l = 2, m_{1} = 1 E.n = 3, l = 2, m_{1} = 0$$ Choose the correct answer from the options given below:

If $$a_{\circ}$$ is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength $$(\lambda)$$ of the electron present in the second orbit of hydrogen atom? [n : any integer]

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this? Given : Rydberg constant $$R_{H}=10^{5} cm^{-1}$$, $$h=6.6 \times 10^{-34}$$ Js,$$c= 3\times 10^{8}$$ m/s

For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for a constant n ? [E: Energy of the stationary state, Z : atomic number, n = principal quantum number]

Given below are two statements : Statement (I) : It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle. Statement (II) : If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is $$\ge \sqrt{\frac{h}{\pi} \times \frac{1}{2m}}$$. In the light of the above statements, choose the correct answer from the options given below :

The de-Broglie's wavelength of an electron in the 4th orbit is ______ $$\pi a_0$$. ($$a_0$$ = Bohr's radius)

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom? (A)1s < 2p < 3d < 4s (B) 1s < 2s = 2p < 3s = 3p (C)1s < 2s < 2p < 3s < 3p (D) 1s < 2s < 4s < 3d
Choose the correct answer from the options given below :

According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron $$\lambda$$ and momentum of electron $$p$$? (Four graphs are shown: (1) $$\lambda$$ vs $$p$$ showing a rectangular hyperbola, (2) $$p$$ vs $$\lambda$$ showing a rectangular hyperbola, (3) $$\lambda$$ vs $$1/p$$ showing a straight line through origin, (4) $$\lambda$$ vs $$p$$ showing a straight line with negative slope)

In case of isoelectronic species the size of $$F^-$$, $$Ne$$ and $$Na^+$$ is affected by:

The number of radial node/s for 3p orbital is:

The electronic configuration for Neodymium is: [Atomic Number for Neodymium 60]

The number of electrons present in all the completely filled subshells having $$n = 4$$ and $$s = +\frac{1}{2}$$ is ______ (Where $$n$$ = principal quantum number and $$s$$ = spin quantum number)

Total number of ions from the following with noble gas configuration is
$$Sr^{2+}$$ (Z = 38), $$Cs^+$$ (Z = 55), $$La^{2+}$$ (Z = 57), $$Pb^{2+}$$ (Z = 82), $$Yb^{2+}$$ (Z = 70) and $$Fe^{2+}$$ (Z = 26)

The correct set of four quantum numbers for the valence electron of rubidium atom $$(Z = 37)$$ is:

Given below are two statements:
Statement-I: The orbitals having same energy are called as degenerate orbitals.
Statement-II: In hydrogen atom, $$3p$$ and $$3d$$ orbitals are not degenerate orbitals.
In the light of the above statements, choose the most appropriate answer from the options given

Number of spectral lines obtained in $$He^+$$ spectra, when an electron makes transition from fifth excited state to first excited state will be

The ionization energy of sodium in $$kJ \text{ mol}^{-1}$$, if electromagnetic radiation of wavelength $$242$$ nm is just sufficient to ionize sodium atom is ______. (nearest integer)

The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are

The maximum number of orbitals which can be identified with $$n = 4$$ and $$m_l = 0$$ is ______

In an atom, total number of electrons having quantum numbers $$n = 4$$, $$|m_l| = 1$$ and $$m_s = -\frac{1}{2}$$ is ______

The value of Rydberg constant $$(R_H)$$ is $$2.18 \times 10^{-18} \text{ J}$$. The velocity of electron having mass $$9.1 \times 10^{-31} \text{ kg}$$ in Bohr's first orbit of hydrogen atom $$=$$ ______ $$\times 10^5 \text{ ms}^{-1}$$ (nearest integer).