a) How many radial nodes are present in 4d orbitals? b) What is the ratio of the radius of Bohr's first orbit in He+ and Li2+? (He=2, Li=3)
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The image presents two chemistry-related questions. The first question asks about the number of radial nodes in 4d orbitals. The second question asks for the ratio of the radius of Bohr's first orbit in He+ and Li2+, given their atomic numbers.
Answer
a) 1 radial node. b) 3/2 or 1.5
a) A 4d orbital has 1 radial node. b) The ratio of the radius of Bohr's first orbit in He+ and Li2+ is 3/2 or 1.5.
Answer for screen readers
a) A 4d orbital has 1 radial node. b) The ratio of the radius of Bohr's first orbit in He+ and Li2+ is 3/2 or 1.5.
More Information
The number of radial nodes can be calculated using the formula: n - l - 1, where n is the principal quantum number and l is the azimuthal quantum number. For a 4d orbital, n = 4 and l = 2. Thus, the number of radial nodes is 4 - 2 - 1 = 1.
The radius of Bohr's orbit is given by the formula: r = a0 * (n^2 / Z), where a0 is the Bohr radius, n is the principal quantum number, and Z is the atomic number. For the first orbit (n=1), the radius is r = a0 / Z. Therefore, the ratio of radii for He+ and Li2+ is (a0 / 2) / (a0 / 3) = 3/2.
Tips
A common mistake is using the wrong formula or incorrect values for n and l.
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