Which of the following pairs represents isobars?

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BPSC AE Paper III General Studies 18 Dec 2024 Official Paper
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  1. 40K19 and 39K19
  2. 40K19 and 40Ca20
  3. 3He2 and 4He2
  4. 24Mg12 and 25Mg12

Answer (Detailed Solution Below)

Option 2 : 40K19 and 40Ca20
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Detailed Solution

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The correct answer is 40K19 and 40Ca20Key Points

  • Isobars are atoms of different elements that have the same mass number but different atomic numbers.
  • The given pair 40K19 and 40Ca20 are isobars because their mass number is the same (40) but their atomic numbers differ (19 and 20, respectively).
  • While both have the same number of nucleons (protons + neutrons), their chemical properties differ due to different atomic numbers.
  • Option 1, 40K19 and 39K19, cannot be isobars as they belong to the same element (potassium) and differ in mass number, making them isotopes instead.
  • Similarly, options like 3He2 and 4He2 or 24Mg12 and 25Mg12 are isotopes, not isobars, as they represent the same element with varying mass numbers.

Additional Information

  • Mass Number (A): The total number of protons and neutrons in an atom's nucleus. It determines the mass of the atom.
  • Atomic Number (Z): The number of protons in the nucleus of an atom, which defines the element's identity and its position in the periodic table.
  • Isotopes: Atoms of the same element that have the same atomic number but different mass numbers due to a varying number of neutrons. Example: 12C6 and 14C6.
  • Isobars: Atoms of different elements with the same mass number but different atomic numbers. Example: 40K19 and 40Ca20.
  • Applications of Isobars: Isobars like 14C6 (Carbon-14) are used in radiocarbon dating, while others are employed in medical imaging and nuclear medicine.
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