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Question

The diameter of an atom is

The correct answer is

10-10

Understanding the Diameter of an Atom

Atoms are the fundamental building blocks of matter, and they are incredibly small. Their size is a key characteristic that distinguishes them from macroscopic objects we see every day.

The diameter of an atom is typically on the order of a few Angstroms. An Angstrom (\(\text{\AA}\)) is a unit of length equal to \(10^{-10}\) meters. This unit is often used to express atomic radii and wavelengths of X-rays.

Analyzing the Given Options

Let's look at the provided options and compare them to the known size of atoms:

  • Option 1: \(10^{-6}\) meters. This is equal to 1 micrometer (\(\mu\text{m}\)). This scale is characteristic of biological cells, bacteria, or very fine dust particles. It is much larger than an atom.
  • Option 2: \(10^{-10}\) meters. This is equal to 1 Angstrom (\(\text{\AA}\)). This is the typical order of magnitude for the diameter or radius of an atom. Atomic radii generally fall within the range of about 0.3 \(\text{\AA}\) (like Hydrogen) to about 3 \(\text{\AA}\) (like Cesium), making \(10^{-10}\) meters a representative value for the atomic diameter scale.
  • Option 3: \(10^{-15}\) meters. This is equal to 1 femtometer (fm), also called 1 fermi. This scale is characteristic of the atomic nucleus, which is about 100,000 times smaller than the atom itself.
  • Option 4: \(10^{-21}\) meters. This represents an extremely small scale, far smaller than the atomic nucleus or even the currently observable limits for the size of fundamental particles like electrons or quarks.

Based on these comparisons, the typical diameter of an atom is on the order of \(10^{-10}\) meters.

Scale Length (meters) Example
Atomic Nucleus \(10^{-15}\) Proton, Neutron
Atom \(10^{-10}\) Hydrogen Atom, Gold Atom
Molecule (Small) \(10^{-9}\) to \(10^{-10}\) Water Molecule
Virus \(10^{-7}\) Influenza Virus
Bacterium \(10^{-6}\) E. coli Bacterium
Human Hair Width \(10^{-4}\) to \(10^{-5}\) Hair Strand

Conclusion

The diameter of an atom is a measure of its size, determined primarily by the extent of its electron cloud. This size is consistently found to be around \(10^{-10}\) meters.

Atomic Diameter Revision Table

Concept Typical Value Related Unit
Atomic Diameter/Radius Order \(\sim 10^{-10}\) m Angstrom (\(\text{\AA}\))
Nuclear Diameter Order \(\sim 10^{-15}\) m Femtometer (fm or fermi)
Micron Scale Order \(\sim 10^{-6}\) m Micrometer (\(\mu\text{m}\))

Additional Information on Atomic Size

The size of an atom is not a fixed, hard boundary like a solid sphere. It is defined by the probability distribution of its electrons, particularly the outermost electrons. The electron cloud extends around the nucleus, and the 'size' is typically taken as the distance within which there is a high probability (e.g., 90% or 95%) of finding the electrons.

Different definitions of atomic radius exist (like covalent radius, van der Waals radius, metallic radius), and they can vary slightly for the same element depending on its chemical environment. However, all these definitions yield values within the order of magnitude of \(10^{-10}\) meters.

The nucleus, containing protons and neutrons, is located at the center of the atom and is vastly smaller than the overall atom. The atom is mostly empty space!

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Important Questions from Atoms

  1. If $M$ is the mass of water that rises in a capillary tube of radius $r$, then what would be the total mass of water that rises if a capillary tube of radius $r$ and another capillary tube of radius $2r$ are simultaneously placed in water, assuming identical liquid and material properties?

  2. The ratio of specific charge of a proton and a α-particle is

  3. The ratio of radii of two nuclei having atomic mass numbers 27 and 8 respectively, will be:

  4. A $Be^{3+}$ ion, initially in its second excited state, absorbs a photon of wavelength $601.6\text{ A}$. The radius of the ion in the resulting excited state in terms of Bohr radius $a_0$ will be (Take $hc = 12500\text{ eV-A}$)

  5. Ionising ______ has/have sufficient energy to affect the atoms in living cell and thereby damage their genetic material.

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