Published by:
CGP EDU Academic Team
Published on: September 12, 2026
What kinetic energy must an
-particle possess to split a deuteron
whose binding energy is
?
Text Solution
Verified by ExpertsThe correct answer is:
A
To determine the kinetic energy required to split a deuteron (\text{D}) using an alpha particle (\alpha), we can use the relationship between binding energy and kinetic energy needed to overcome it. In nuclear physics, the binding energy (E_b) represents the energy required to separate the particles constituting the nucleus. In this case, the binding energy of the deuteron is given as 2.2 MeV.
According to conservation of energy, the kinetic energy (K.E.) of the incoming alpha particle must at least equal the binding energy of the deuteron for the reaction to occur.
Therefore, K.E. needed = E_b = 2.2 MeV.
Hence, the kinetic energy that the alpha particle must possess to split the deuteron is 2.2 MeV.
According to conservation of energy, the kinetic energy (K.E.) of the incoming alpha particle must at least equal the binding energy of the deuteron for the reaction to occur.
Therefore, K.E. needed = E_b = 2.2 MeV.
Hence, the kinetic energy that the alpha particle must possess to split the deuteron is 2.2 MeV.
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