Question:

A radioactive nuclei X decays simultaneously to two nuclei Y and Z as:
radioactive nuclei X decays
t½ is 12 minutes while t'½ is 3 minutes. Find the time in which nuclei X decays 50%.

Updated On: Feb 20, 2024
  • 4.8 minutes

  • 15 minutes

  • 2.4 minutes

  • 9 minutes

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The Correct Option is C

Solution and Explanation

The correct answer is 2.4 minutes

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Concepts Used:

Radioactivity

Radioactivity is a phenomenon observed in certain elements where unstable atomic nuclei spontaneously emit energy and subatomic particles. This process is driven by the desire of the nucleus to achieve a more stable state. It's crucial to understand the three main types of radioactive decay:

Alpha Decay: In alpha decay, a nucleus emits an alpha particle, consisting of two protons and two neutrons.

Beta Decay: Beta decay involves the emission of a beta particle, which can be a positron or an electron, from an unstable nucleus.

Gamma Decay: Gamma decay releases gamma rays, electromagnetic radiation, to achieve a more stable nuclear state.

The emission of these particles and energy is a result of nuclear instability. The rate of decay is characterized by the half-life, the time taken for half of the radioactive material to undergo decay. Radioactivity has diverse applications, from medical treatments and industrial processes to power generation in nuclear reactors.