Ionisation energy of He+ is 19.6 × 10-18 J atom-1. The energy of the first stationary state (n = 1) of Li2+ is
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Solution
The energy required to break one mole of Cl – Cl bonds in Cl2 is 242 kJ mol-1. The longest wavelength of light capable of breaking a single Cl – Cl bond is(c = 3 × 108 ms-1 and NA = 6.02 × 1023 mol-1).
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Solution
In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity with which the position of the electron can be located is (h = 6.6 × 10–34 kg m2s-1, mass of electron, em = 9.1 × 10-31kg)
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Solution
The ionization enthalpy of hydrogen atom is 1.312 × 106 J mol-1.The energy required to excite the electron in the atom from n = 1 to n = 2 is
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Solution
Which one of the following constitutes a group of the isoelectronic species?
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Solution
Species having same number of electrons are isoelectronic. On calculating the number of electrons in each given species, we get.
CN-(6 + 7 + 1 = 14); N2(7 + 7 = 14);
O22- (8 + 8 + 2 = 18); C22- (6 + 6 + 2 = 14);
O2-(8 + 8 + 1 = 17); NO+(7 + 8 - 1 = 14)
CO(6 + 8 = 14); NO(7 + 8 = 15)
From the above calculation we find that all the species listed in choice (b) have 14 electrons each so it is the correct answer.
Which of the following sets of quantum numbers represents the highest energy of an atom?
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Solution
(a) n = 3, l = 0 means 3s-orbital and n + l = 3
(b) n = 3, l = 1 means 3p-orbital n + l = 4
(c) n = 3, l = 2 means 3d-orbital n + l = 5
(d) n = 4, l = 0 means 4s-orbital n + l = 4Increasing order of energy among these orbitals is 3s < 3p < 4s < 3d ∴ 3d has highest energy.
According to the Bohr Theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon ?
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Solution
Energy of photon obtained from the transition n = 6 to n = 5 will have least energy.
\(\Delta E = 13.6 Z^{2} \left ( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right )\)
If n = 6,the correct sequence for filling of electrons will be :
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Solution
ns → (n – 2)f → (n – 1)d → np
The energies E1 and E2 of two radiations are 25 eV and 50 eV,respectively. The relation between their wavelengths i.e., ?1 and ?2 will be :
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Solution
A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be (h = 6.6 × 10-34 Js):
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Solution
\(\lambda = \frac{h}{mv} = \frac{6.6 \times 10^{-34}}{0.66 \times 100} = 1 \times 10^{-35} m\)