JEE Advanced 2026 Physics question
A nuclear reactor starts producing a radioactive nuclide from , at a constant rate of per second. Each decay of produces energy , which is utilized to heat a liquid of mass and specific heat . Assuming no heat loss from the liquid and taking as the decay constant of , the rate of increase in the temperature of the liquid is:
Answer: (A)
Solution
**Accumulation of .** The number of nuclei obeys
=α-λ N, N(0)=0 .
Solving the linear equation (integrating factor ),
N(t)=(1-.
**Power released.** Each decay liberates and the decay rate is , so the thermal
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