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TS EAMCET Atomic Structure — practice questions

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The maximum number of electrons that can be accommodated in the $n$-th shell of an atom is:The four quantum numbers describing an electron in an atom are:According to Heisenberg's uncertainty principle, $\Delta x \cdot \Delta p \geq$:Two electrons in the same orbital must have:Calculate the de Broglie wavelength of an electron moving at $10^6$ m/s. (Take $h = 6.6 \times 10^{-34}$ J·s, Bohr's first postulate: electrons revolve in ___ orbits around the nucleus.In Bohr's model, angular momentum of an electron in orbit n equals:Energy of electron in n-th orbit of hydrogen:Principal quantum number n indicates:Number of orbitals in subshell of azimuthal quantum number l:How many electrons can fit in a single orbital?Electron configuration of carbon (Z = 6):For hydrogen, wavelength emitted in n=3 to n=2 transition (Balmer):de Broglie wavelength of an electron with momentum p:Heisenberg uncertainty principle:Number of subshells in shell with n = 3:Electron configuration of nitrogen (Z = 7):Total number of electrons that can occupy shell with n = 4:Magnetic quantum number m_l for a 3d orbital can be:Wavelength of light needed to ionize hydrogen from ground state (13.6 eV):Radius of n-th Bohr orbit for hydrogen (a₀ ≈ 0.529 Å):Effective nuclear charge Z_eff for the 2p electron of carbon (using Slater's rules approximately):For He⁺ ion (1 electron, Z = 2), energy in ground state:The Pauli exclusion principle states that two electrons in an atom cannot have:Energy of the photon emitted in a hydrogen transition from n=4 to n=2:Number of nodes in a 3p orbital (n=3, l=1):For Bohr's hydrogen-like atom, what is the velocity of electron in n-th orbit (in terms of fine structure consPhotoelectric effect: when light of frequency ν falls on a metal of work function φ, KE of emitted electrons iThe wave number $\bar{\nu}$ of electromagnetic radiation is defined asIn vacuum, the velocity of electromagnetic radiation isA photon has wavelength $400\,nm$. Its frequency is approximatelyThe wave number of a photon of frequency $6 \times 10^{14}\,Hz$ (in vacuum) isAccording to Planck's quantum theory, energy is emitted or absorbed in discrete packets calledThe energy of a photon of wavelength $\lambda$ is given byA photon of wavelength $300\,nm$ has approximately what energy in eV? (Use $hc = 1240\,eV\,nm$.)In the photoelectric effect, the kinetic energy of the ejected electron depends onThe threshold frequency $\nu_0$ for a metal is the minimum frequencyLight of frequency $\nu = 2\nu_0$ ejects photoelectrons from a metal with threshold frequency $\nu_0$. The maxRutherford's $\alpha$-particle scattering experiment used a thin foil of which metal?For a hydrogen-like atom of nuclear charge $Z$, the radius of the $n$th Bohr orbit scales asThe energy of the $n$th Bohr orbit of a hydrogen-like atom isThe ratio of the radii of the third Bohr orbit of $He^+$ and the first Bohr orbit of $H$ isThe velocity of the electron in the $n$th Bohr orbit of a hydrogen-like atom is proportional toThe energy required to remove the electron from the first excited state ($n=2$) of $He^+$ isWhich series of the hydrogen spectrum lies entirely in the *visible* region?Rydberg's formula for the wave number of a hydrogen spectral line isThe longest wavelength line in the Lyman series of hydrogen corresponds to the transitionThe de Broglie wavelength of a particle of mass $m$ and momentum $p$ isThe de Broglie wavelength of an electron in the $n$th Bohr orbit, in terms of the orbit radius $r_n$, isAn electron is accelerated through a potential difference of $100\,V$. Its de Broglie wavelength is approximatHeisenberg's uncertainty principle relates the uncertainties in position and momentum asThe minimum uncertainty in the velocity of an electron whose position is known to within $\Delta x = 0.1\,nm$ The principal quantum number $n$ can take valuesFor principal quantum number $n$, the orbital quantum number $l$ takes valuesFor orbital quantum number $l$, the magnetic quantum number $m_l$ takes valuesHow many orbitals are present in the $n = 3$ shell?The maximum number of electrons in the subshell with $n = 4, l = 2$ isWhich set of quantum numbers $(n, l, m_l, m_s)$ is **NOT** allowed?Hund's rule applies during the filling ofThe Aufbau principle dictates that orbitals fill in order of increasingWhich of the following orbital shapes is dumbbell-shaped along an axis?How many *angular* nodes does a $3d$ orbital have?The number of *radial* nodes in a $4s$ orbital isThe ionisation energy of hydrogen in its ground state isFor $He^+$, the ionisation energy from its ground state isWhich transition in the hydrogen atom emits the largest amount of energy?Which of the following experimental phenomena could **NOT** be explained by classical EM wave theory?The Bohr model failed to explainIn the photoelectric effect, the *stopping potential* $V_0$ varies with the frequency of incident light asWhich of the following is **NOT** a possible set of quantum numbers for a 3d electron?The total number of electrons that can fit in the $M$ shell ($n=3$) isThe Bohr radius for hydrogen ($n=1, Z=1$) is approximatelyThe proton was discovered through experiments involvingThe neutron was discovered byIn Thomson's atomic model (plum-pudding), the atom isThe Bohr orbit velocity of the ground-state electron in hydrogen is aboutThe Rydberg constant for hydrogen, in SI units, isWhich scientist measured the charge to mass ratio of the electron in 1897?Which experiment was used to determine the charge on the electron?Cathode rays are a stream of which particles?Cathode rays travel from which electrode to which in a discharge tube?The charge on one electron has a magnitude of aboutMillikan found the charge on an oil drop is alwaysThe neutron was discovered in 1932 by bombarding beryllium with alpha particles. Who discovered it?Which particle has a mass slightly greater than that of a proton and no charge?The smallest and lightest positive ion, obtained from hydrogen, is theUnlike cathode rays, the mass of positive rays depends onThe plum pudding model of the atom was proposed byIn Thomson's model of the atom, the positive charge isWhich rays are least penetrating among alpha, beta and gamma rays?Alpha particles are identical to nuclei of which element?Who discovered radioactivity?Which rays are neutral and consist of high energy radiation like X-rays?Most alpha particles passed through gold foil, showing thatThe deflection of a few alpha particles showed that the positive charge isAbout how many alpha particles in the gold foil experiment bounced back?The radius of an atom is about 10^-10 m. The radius of its nucleus is aboutRutherford's nuclear model resembles which system?The number of protons in a nucleus equals the atom'sThe mass number of an atom is the total number ofHow many neutrons are in an atom of 23Na (atomic number 11)?How many electrons does the ion Al3+ (atomic number 13) have?Atoms with the same atomic number but different mass numbers are calledWhich pair are isobars?Electromagnetic waves in vacuum all travel at a speed of aboutThe SI unit of frequency isWavelength, frequency and speed of light are related byWavenumber is defined as the number of wavelengths perRadiation of frequency 3 x 10^15 Hz has what wavelength? (c = 3 x 10^8 m/s)Which region of the electromagnetic spectrum has the highest frequency among these?Who first explained black body radiation with the idea of quanta?According to Planck, the energy of a quantum is proportional to itsThe value of Planck's constant h is aboutAn ideal body that absorbs and emits all frequencies uniformly is called aAs the temperature of a black body rises, the peak of its emission curve shifts towardWho explained the photoelectric effect using Planck's quantum idea?Who first observed the photoelectric effect in 1887?The minimum frequency needed to eject photoelectrons is called theIn photoelectric emission, brighter light increases theBohr proposed that electrons in an atom move in