Chemistry · Structure of atom
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Chemistry · Structure of atom
How many electrons in an atom may have the quantum numbers \( n = 4, m_s = -1/2 \)?
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The relationship between frequency \( \nu \), wavelength \( \lambda \), and velocity of light \( c \) is given by:
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What is the frequency of violet light if its wavelength corresponds to the upper limit of the visible spectrum given as \( 7.50 \times 10^{14} \) Hz? (Wait, let's consider frequency as \( 7.50 \times 10^{14} \) Hz. If the visible spectrum ranges from violet at \( 7.50 \times 10^{14} \) Hz to red at \( 4 \times 10^{14} \) Hz, what is the wavelength corresponding to red light? Use \( c = 3 \times 10^8 \text{ m s}^{-1} \)):
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The threshold frequency \( u_0 \) for a metal is \( 7.0 \times 10^{14} \text{ s}^{-1} \). Calculate the kinetic energy of an electron emitted when radiation of frequency \( \nu = 1.0 \times 10^{15} \text{ s}^{-1} \) hits the metal. (\( h = 6.626 \times 10^{-34} \text{ J s} \))
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What is the total number of nodes (sum of radial and angular nodes) present in a \( 3p \) orbital?
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How many electrons are present in the species \( \text{O}_2^+ \)?
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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): For hydrogen-like species, the energy of an electron becomes more negative with an increase in atomic number Z. Reason (R): Higher atomic number means a stronger positive charge on the nucleus, binding the electron more tightly. In the light of the above statements, choose the correct answer from the options given below:
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Calculate the de Broglie wavelength associated with an electron in the Bohr's first orbit whose velocity is \( 2.19 \times 10^6 \text{ m s}^{-1} \).
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Which of the following pairs of orbitals will experience the larger effective nuclear charge in a multi-electron system?
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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): Thomson's atomic model successfully explained the overall electrical neutrality of an atom. Reason (R): Thomson's model predicted the correct scattering distribution of alpha particles at large angles. In the light of the above statements, choose the correct answer from the options given below:
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Calculate the energy of one mole of photons of radiation whose frequency is \( 5 \times 10^{14} \text{ Hz} \).
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Given below are two statements:\n Statement I: Boundary surface diagrams of constant probability density enclose a region where the probability of finding the electron is 100%.\n Statement II: The probability density \( |\psi|^2 \) has a finite value even at very large distances from the nucleus, making a 100% boundary surface impossible. \nIn the light of the above statements, choose the most appropriate answer from the options given below:
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Which sub-atomic particle was discovered by bombarding a thin sheet of beryllium by \( \alpha \)-particles and producing electrically neutral particles?
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Which equation correctly represents Einstein's photoelectric equation?
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).\n Assertion (A): An orbital cannot hold more than two electrons, and these two electrons must have opposite spins.\n Reason (R): According to the Pauli exclusion principle, no two electrons in an atom can have the same set of all four quantum numbers. \nIn the light of the above statements, choose the correct answer from the options given below:
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Given below are two statements:\n Statement I: The energy of an electron in a multi-electron atom depends on both principal quantum number (\( n \)) and azimuthal quantum number (\( l \)).\n Statement II: For hydrogen and hydrogen-like species, the energy of an orbital depends solely on the principal quantum number (\( n \)). \nIn the light of the above statements, choose the most appropriate answer from the options given below:
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Which of the following sub-atomic particles has a relative charge of \( 0 \) and an approximate mass of \( 1 \text{ u} \)?
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The total number of values of magnetic quantum number (\( m_l \)) for a given azimuthal quantum number (\( l \)) is given by:
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What is the energy (in J) of each photon associated with light of frequency \( 3 \times 10^{15} \text{ Hz} \)? (Given \( h = 6.626 \times 10^{-34} \text{ J s} \))
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What is the maximum number of electrons that can be accommodated in a subshell with azimuthal quantum number \( l = 2 \)?
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Determine the radius of the third stationary orbit (\( n = 3 \)) for a single-electron species \( \text{Li}^{2+1} \) (where \( a_0 = 52.9 \text{ pm} \)).
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For a given azimuthal quantum number \( l \), the total number of magnetic orbital quantum numbers (\( m_l \)) is given by:
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