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Which of the following acts as a superconductor at \(4 \mathrm{~K}\) ? (a) \(\mathrm{He}\) (b) \(\mathrm{Cu}\) (c) \(\mathrm{K}\) (d) \(\mathrm{Mg}\)

Short Answer

Expert verified
None of the listed elements (He, Cu, K, Mg) act as superconductors at 4 K in their pure elemental form.

Step by step solution

01

Understanding Superconductors

Firstly, it's important to understand what a superconductor is. A superconductor is a material that can conduct electricity or transport electrons from one atom to another with no resistance. This usually happens at very low temperatures.
02

Eliminate Non-Metals

Helium (He) is a noble gas and thus is not a conductor, let alone a superconductor. It can be eliminated from the options.
03

Check Periodic Table Classification

Of the remaining metals (Cu, K, Mg), superconductivity is a property that is not common to all metals and is typically observed in certain metallic compounds rather than pure metals. Among the given options, none are known to be superconductors at 4K in their pure form. However, certain compounds or alloys containing these metals may exhibit superconductivity at low temperatures.
04

Identify Known Superconductors

In the absence of specific information about compounds or alloys, none of the given options (Cu, K, Mg) are known to act as superconductors at 4 K in their pure elemental form. It is important to note that researchers are always discovering new superconductors, so the most current literature should be consulted for the latest information. However, based on common scientific knowledge as of the latest update, none of the listed elements are superconductors at 4 K.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Electric Conductivity
Electric conductivity is the measure of a material's ability to conduct an electric current. Imagine it as a highway for electrons; the easier it is for them to flow, the better the conductivity. In metals, this highway is usually wide open because they have free electrons that readily move when a voltage is applied. These free electrons stem from the outermost shell of metal atoms, which don't hold onto their electrons tightly.

In terms of resistance, conductivity is the opposite. The lower the resistance, the higher the conductivity. Superconductors take this to the extreme – they're materials that can conduct electricity with zero resistance, making them an ideal 'highway' with no obstructions at all. However, this phenomenon occurs under certain conditions, typically at very low temperatures, which we'll delve into more in later sections.
The Periodic Table and Superconductivity
The periodic table isn't just a list of elements; it's a map of chemical behavior, including how elements conduct electricity. Metals, which are found on the left side of the table, are usually good conductors of electricity. This is due to their atomic structure, where the outermost electrons easily delocalize and allow for the free flow of current.

However, not all metals are created equal in the realm of electrical conduction. Some metals, when cooled down to temperatures close to absolute zero, become superconductors, entering a state where they allow the uninterrupted flow of electricity. As we've seen in the exercise, elements like Cu (copper), K (potassium), and Mg (magnesium) do not exhibit superconductivity at 4 K in their pure states, but certain alloys or compounds containing these metals can. Understanding where these elements sit on the periodic table helps in predicting their typical behaviors and potential as superconductors.
Superconductivity at Low Temperatures
Superconductivity at low temperatures is a fascinating and complex behavior exhibited by certain materials. The term 'low temperatures' here is crucial – we're talking about temperatures close to absolute zero (-273.15°C or 0 K). At these chilly conditions, some materials enter a superconductive phase. This phase is not just about unimpeded electric flow; it's also about perfect diamagnetism, where the material repels magnetic fields.

This has enormous implications for technologies like MRI machines and maglev trains. But why does superconductivity only occur at such low temperatures? It's due to the phenomenon where the thermal energy is no longer strong enough to disrupt the electron pairs that form at supercool temperatures – known as Cooper pairs. These pairs move without resistance, leading to the zero resistance character of superconductors. Returning to our exercise, while none of the listed elements display superconductivity at 4 K in their pure form, there is a constant search for new materials that become superconductive at higher temperatures – a holy grail of sorts for researchers, which would revolutionize how we use and transmit energy.

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Most popular questions from this chapter

For a certain crystal, the unit cell axial lengths are found to be \(a=5.62 \AA, b=7.41\) \(\AA\) and \(c=10.13 \AA\). The three coordinate axes are mutually perpendicular. The crystal system to which the crystal belongs is (a) tetragonal (b) orthorhombic (c) monoclinic (d) cubic

There are three cubic unit cells \(\mathrm{A}, \mathrm{B}\) and C. A is FCC and all of its tetrahedral voids are also occupied. \(\mathrm{B}\) is also \(\mathrm{FCC}\) and all of its octahedral voids are also occupied. \(\mathrm{C}\) is simple cubic and all of its cubic voids are also occupied. If voids in all unit cells are occupied by the spheres exactly at their limiting radius, then the order of packing efficiency would be (a) \(\mathrm{A}<\mathrm{B}<\mathrm{C}\) (b) \(C

In an FCC arrangement of metallic atoms, what is the relative ratio of the sizes of tetrahedral and octahedral voids? (a) \(0.543\) (b) \(0.732\) (c) \(0.414\) (d) \(0.637\)

Potassium has BCC structure with nearest neighbour distance \((2.5 \times \sqrt{3}) \dot{A}\). Its density will be \(\left(\mathrm{K}=39, N_{\mathrm{A}}=6 \times 10^{23}\right)\) (a) \(1.040 \mathrm{~kg} / \mathrm{m}^{3}\) (b) \(104 \mathrm{~kg} / \mathrm{m}^{3}\) (c) \(520 \mathrm{~kg} / \mathrm{m}^{3}\) (d) \(1040 \mathrm{~kg} / \mathrm{m}^{3}\)

What is the void space per unit cell for metallic silver crystallizing in the FCC system, the edge length of the unit cell being \(4 \AA\) ? (a) \(47.36 \AA^{3}\) (b) \(30.72 \AA^{3}\) (c) \(20.48 \AA^{3}\) (d) \(16.64 \AA^{3}\)

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