To solve the problem, we need to identify the element with the electronic configuration [Ar]3d\(^{10}\)4s\(^1\).
1. Understanding the Configuration:
The configuration [Ar] represents the electron configuration of argon, which is 1s\(^2\)2s\(^2\)2p\(^6\)3s\(^2\)3p\(^6\), accounting for 18 electrons. The additional 3d\(^{10}\)4s\(^1\) indicates:
- 3d\(^{10}\): 10 electrons in the 3d subshell.
- 4s\(^1\): 1 electron in the 4s subshell.
Total electrons = 18 (from [Ar]) + 10 (3d) + 1 (4s) = 29 electrons.
2. Determining the Element:
The number of electrons in a neutral atom equals its atomic number. An element with 29 electrons has an atomic number of 29, which corresponds to copper (Cu) on the periodic table.
3. Verifying the Configuration:
Copper (Cu, atomic number 29) has the expected ground state configuration. The noble gas core [Ar] is followed by the filling of the 4s and 3d orbitals. Typically, for transition metals, the 4s orbital fills before 3d. However, copper is an exception:
- Expected: [Ar]4s\(^2\)3d\(^9\)
- Actual: [Ar]4s\(^1\)3d\(^{10}\)
This exception occurs because a fully filled 3d subshell (3d\(^{10}\)) is more stable than a partially filled one, so an electron from 4s moves to 3d, resulting in [Ar]3d\(^{10}\)4s\(^1\), which matches the given configuration.
Final Answer:
The element with the electronic configuration [Ar]3d\(^{10}\)4s\(^1\) is copper (Cu).
The figures below show:
Which of the following points in Figure 2 most accurately represents the nodal surface shown in Figure 1?
The wavelength of spectral line obtained in the spectrum of Li$^{2+}$ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).