a) How many radial nodes will be present in 4d orbitals? b) What is the ratio of the radius of Bohr's first orbit in He+ and Li2+?
Understand the Problem
The image contains two chemistry questions. The first requires calculating the number of radial nodes in a 4d orbital. The second asks for the ratio of the radii of Bohr's first orbit in He+ and Li2+ ions. We need to apply the formulas for radial nodes and Bohr's radius to solve these.
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 increases as the principal quantum number (n) increases for a given type of orbital. The radius of the Bohr orbit decreases with increasing nuclear charge (Z).
Tips
A common mistake is to confuse the values of n and l. Remember that for a 'd' orbital, l = 2.
Sources
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