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Chemistry · Structure of atom
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Chemistry · Structure of atom
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).\n Assertion (A): Two electrons in the same orbital can have the same set of four quantum numbers.\n Reason (R): Pauli's exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers. \nIn the light of the above statements, choose the correct answer from the options given below:
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Which of the following sets of quantum numbers represents a valid \( d \)-orbital electron where the magnetic quantum number \( m_l = +2 \)?
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Calculate the uncertainty in velocity (\( \Delta v \)) of an electron if the uncertainty in its position (\( \Delta x \)) is \( 10^{-8} \text{ m} \). (Given: mass of electron \( m = 9.11 \times 10^{-31} \text{ kg} \), Planck's constant \( h = 6.626 \times 10^{-34} \text{ J s} \))
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Match List-I with List-II: List-I List-II A Protium I Radioactive hydrogen isotope B Deuterium II Contains 1 proton and 0 neutrons C Tritium III Contains 1 proton and 1 neutron D Isobars IV Same mass number, different atomic number Choose the correct answer from the options given below:
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Given below are two statements:\n Statement I: The maximum number of electrons in a subshell is given by \( 2(2l + 1) \).\n Statement II: Pauli's exclusion principle allows two electrons in the same orbital to have the same spin quantum number. \nIn the light of the above statements, choose the most appropriate answer from the options given below:
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A microscopic particle of mass \( 10^{-6} \text{ kg} \) has an uncertainty in position of \( 10^{-6} \text{ m} \). The minimum percentage uncertainty in its velocity is approximately equal to:
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What is the wavenumber of yellow radiation having a wavelength of \( 5800\text{ \AA} \)?
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Calculate the wavelength (in nm) of the spectral line corresponding to the transition from \( n_2 = 4 \) to \( n_1 = 2 \) in the Balmer series of atomic hydrogen (\( R_H = 109677 \text{ cm}^{-1} \)).
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Calculate the wavenumber of yellow radiation having a wavelength of \( 5800 \text{ \AA} \).
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In the Schrödinger wave equation \( \hat{H}\psi = E\psi \), the operator \( \hat{H} \) represents:
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Calculate the kinetic energy (in J) of an electron whose de Broglie wavelength is \( 1.0 \times 10^{-10} \text{ m} \) (\( m = 9.1 \times 10^{-31} \text{ kg} \), \( h = 6.626 \times 10^{-34} \text{ J s} \)).
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Given below are two statements: Statement I: In an absorption spectrum, energy is absorbed when an electron moves from a lower to a higher orbit. Statement II: In an emission spectrum, \( \Delta E \) is negative and energy is released as an electron moves from a higher to a lower orbit. In the light of the above statements, choose the most appropriate answer from the options given below:
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The specific charge (\( e/m_e \)) of an electron was determined by J.J. Thomson. What is the experimentally accepted value of \( e/m_e \) for an electron?
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Which of the following sets of quantum numbers is NOT permissible?
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Calculate the wavelength of an electromagnetic radiation emitted by a transmitter broadcasting on a frequency of \( 1,368 \text{ kHz} \).
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Calculate the frequency of violet light having a wavelength of \( 400 \text{ nm} \).
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The three quantum numbers \( n, l, m_l \) arising as a natural consequence of the solution of the Schrödinger equation for a hydrogen atom are respectively called:
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What is the correct ground-state valence electronic configuration of chromium (\( \text{Cr}, Z = 24 \)) exhibiting exceptional stability?
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Match List-I with List-II: List-I List-II A Protium I 1 proton, 1 neutron B Deuterium II 1 proton, 2 neutrons C Tritium III 1 proton, 0 neutrons D Nucleons IV Protons and neutrons Choose the correct answer from the options given below:
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According to Bohr's postulate, the angular momentum (\( m_e v r \)) of an electron in a given stationary state is quantised and is equal to:
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Match List-I with List-II: \n List-I List-II A Lyman Series I Visible Region B Balmer Series II Ultraviolet Region C Paschen Series III Infrared Region (\( n_1 = 4 \)) D Brackett Series IV Infrared Region (\( n_1 = 3 \)) \n Choose the correct answer from the options given below:
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Using \( s, p, d, f \) notations, identify the orbital corresponding to the quantum numbers \( n = 5, l = 3 \).
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