Structure of Atom

A hypothetical electromagnetic wave is show below.

The frequency of the wave is \(\mathrm{x} \times 10^{19} \mathrm{~Hz}\).
\(\mathrm{x}=\) _________ (nearest integer)

Wavenumber for a radiation having 5800 \(\mathop A\limits^o\) wavelength is \(x \times 10 \mathrm{~cm}^{-1}\) The value of \(x\) is ________. (Integer answer)

Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is _________ \(\times 10^{13} \mathrm{~Hz}\) (nearest integer).
[Given : \(\mathrm{R}_{\mathrm{H}}\) (Rydberg constant) $$=2.18 \times 10^{-18} \mathrm{~J},...

For hydrogen atom, energy of an electron in first excited state is \(-3.4 \mathrm{~eV}, \mathrm{K} . \mathrm{E}\). of the same electron of hydrogen atom is \(x \mathrm{~eV}\). Value of \(x\) is _________ \(\times 10^{-1} \mathrm{~eV}\). (Ne...

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

The incorrect postulates of the Dalton's atomic theory are :
(A) Atoms of different elements differ in mass.
(B) Matter consists of divisible atoms.
(C) Compounds are formed when atoms of different element combine in a fixed ratio.
(D) All ...

In an atom, total number of electrons having quantum numbers \(\mathrm{n}=4,\left|\mathrm{~m}_l\right|=1\) and \(\mathrm{m}_{\mathrm{s}}=-\frac{1}{2}\) is _________.

The de-Broglie's wavelength of an electron in the \(4^{\text {th }}\) orbit is ________ \(\pi \mathrm{a}_0\). (\(\mathrm{a}_0=\) Bohr's radius)

The maximum number of orbitals which can be identified with \(\mathrm{n}=4\) and \(m_l=0\) is _________.

Choose the Incorrect Statement about Dalton's Atomic Theory

The ionization energy of sodium in \(\mathrm{~kJ} \mathrm{~mol}^{-1}\), if electromagnetic radiation of wavelength \(242 \mathrm{~nm}\) is just sufficient to ionize sodium atom is _______.

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

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, cho...

Number of spectral lines obtained in \(\mathrm{He}^{+}\) spectra, when an electron makes transition from fifth excited state to first excited state will be

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

Match List I with List II

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

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 $(p)$?

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

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

The number of following statement/s which is/are incorrect is ___________
(A) Line emission spectra are used to study the electronic structure
(B) The emission spectra of atoms in the gas phase show a continuous spread of wavelength from re...

The number of atomic orbitals from the following having 5 radial nodes is ___________.
\(7 \mathrm{s}, 7 \mathrm{p}, 6 \mathrm{s}, 8 \mathrm{p}, 8 \mathrm{d}\)

Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is
Given \(v=\) frequency of \(\mathrm{X}\)-ray emitted
Z = atomic number

The wavelength of an electron of kinetic energy \(4.50\times10^{-29}\) J is _________ \(\times 10^{-5}\) m. (Nearest integer)
Given : mass of electron is \(9\times10^{-31}\) kg, h \(=6.6\times10^{-34}\) J s

If the radius of the first orbit of hydrogen atom is \(\alpha_{0}\), then de Broglie's wavelength of electron in \(3^{\text {rd }}\) orbit is :

Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from \(\mathrm{n=4}\) to \(\mathrm{n}=2\) of \(\mathrm{He}^{+}\) spectrum

Arrange the following orbitals in decreasing order of energy.
A. $\mathrm{n}=3, \mathrm{l}=0, \mathrm{~m}=0$
B. $\mathrm{n}=4, \mathrm{l}=0, \mathrm{~m}=0$
C. $\mathrm{n}=3, \mathrm{l}=1, \mathrm{~m}=0$
D. $\mathrm{n}=3, \mathrm{l}=2, \math...

The energy of one mole of photons of radiation of frequency \(2 \times 10^{12} \mathrm{~Hz}\) in \(\mathrm{J} ~\mathrm{mol}^{-1}\) is ___________. (Nearest integer)
[Given : \(\mathrm{h}=6.626 \times 10^{-34} ~\mathrm{Js}\)
$$\mathrm{N}_{\m...

The wave function $(\Psi)$ of $2 \mathrm{~s}$ is given by
\(\Psi_{2 \mathrm{~s}}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2 a_0}\)
At $r=r_0$, radial node is formed. Thus, $r_0$ in ter...

Maximum number of electrons that can be accommodated in shell with $n=4$ are:

The shortest wavelength of hydrogen atom in Lyman series is \(\lambda\). The longest wavelength is Balmer series of He\(^+\) is

Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 \(\mathrm{\mathop A\limits^o }\). The radius of the third Bohr orbit of He\(^+\) is __________ picometer. (Nearest Integer)

The radius of the \(\mathrm{2^{nd}}\) orbit of \(\mathrm{Li^{2+}}\) is \(x\). The expected radius of the \(\mathrm{3^{rd}}\) orbit of \(\mathrm{Be^{3+}}\) is

The number of given orbitals which have electron density along the axis is _________
\(\mathrm{p_x,p_y,p_z,d_{xy},d_{yz},d_{xz},d_{z^2},d_{x^2-y^2}}\)

If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line of this series is _________ nm. (Nearest integer)

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. \({v^n}\) of X-rays emitted is plotted against atomic number "Z", following graph is obtained.

The value of 'n' is :

The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is

The number of s-electrons present in an ion with 55 protons in its unipositive state is

Electrons in a cathode ray tube have been emitted with a velocity of 1000 m s\(^{-1}\). The number of following statements which is/are \(\underline {\mathrm{true}}\) about the emitted radiation is ____________.
Given : $$\mathrm{h=6\times...

Which one of the following sets of ions represents a collection of isoelectronic species?
(Given : Atomic Number : \(\mathrm{F:9,Cl:17,Na=11,Mg=12,Al=13,K=19,Ca=20,Sc=21}\))

The total number of isoelectronic species from the given set is ___________.
$\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{Al}, \mathrm{Mg}^{2+}, \mathrm{Na}^{+}, \mathrm{O}^{+}, \mathrm{Mg}, \mathrm{Al}^{3+}, \mathrm{F}$

Given below are two statements:

Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.

Statement II : The concept of electron in Bohr's orbit, violates the H...

The energy of an electron in the first Bohr orbit of hydrogen atom is \(-2.18 \times 10^{-18} \mathrm{~J}\). Its energy in the third Bohr orbit is ____________.

The orbital angular momentum of an electron in \(3 \mathrm{~s}\) orbital is \(\frac{x h}{2 \pi}\). The value of \(x\) is ____________ (nearest integer)

Values of work function (W\(_0\)) for a few metals are given below

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : In the photoelectric effect, the electrons are ejected from the metal surface as soon as the beam of light of frequency gr...

The number of correct statements from the following is ___________.
A. For \(1 \mathrm{s}\) orbital, the probability density is maximum at the nucleus
B. For \(2 \mathrm{s}\) orbital, the probability density first increases to maximum and t...

The number of incorrect statement/s about the black body from the following is __________
(A) Emit or absorb energy in the form of electromagnetic radiation.
(B) Frequency distribution of the emitted radiation depends on temperature.
(C) At...

The electron in the \(\mathrm{n}^{\text {th }}\) orbit of \(\mathrm{Li}^{2+}\) is excited to \((\mathrm{n}+1)\) orbit using the radiation of energy \(1.47 \times 10^{-17} \mathrm{~J}\) (as shown in the diagram). The value of \(\mathrm{n}\)...

The number of radial nodes and total number of nodes in 4p orbital respectively are :