Question:
The operation of a nuclear reactor is said to be critical when the value of neutron multiplication factor \( K \) is
The operation of a nuclear reactor is said to be critical when the value of neutron multiplication factor \( K \) is
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In nuclear reactors, \( K = 1 \) signifies a steady, self-sustaining reaction. It is the ideal condition for stable energy production in a reactor.
Updated On: Mar 6, 2026
- \( K = 0 \)
- \( K > 1 \)
- \( K = 1 \)
- \( 0 < K < 1 \) \bigskip
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The Correct Option is C
Solution and Explanation
\bigskip
The neutron multiplication factor \( K \) in a nuclear reactor is a measure of the number of neutrons produced in one generation compared to the number in the previous generation. It is used to indicate the state of the reactor:
- If \( K<1 \), the reactor is subcritical, meaning that the number of neutrons is decreasing, and the reaction is slowing down.
- If \( K = 1 \), the reactor is said to be critical, meaning that the number of neutrons is constant, and the reaction is self-sustaining.
- If \( K>1 \), the reactor is supercritical, meaning that the number of neutrons is increasing, and the reaction is becoming more intense.
Thus, the operation of a nuclear reactor is considered to be critical when the neutron multiplication factor \( K \) is equal to 1. \bigskip Thus, the correct answer is \( K = 1 \), option (3). \bigskip
- If \( K = 1 \), the reactor is said to be critical, meaning that the number of neutrons is constant, and the reaction is self-sustaining.
- If \( K>1 \), the reactor is supercritical, meaning that the number of neutrons is increasing, and the reaction is becoming more intense.
Thus, the operation of a nuclear reactor is considered to be critical when the neutron multiplication factor \( K \) is equal to 1. \bigskip Thus, the correct answer is \( K = 1 \), option (3). \bigskip
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