JEE Main 2024 Mathematics question
The temperature T(t) of a body at time t = 0 is 160°F and it decreases continuously as per the differential equation dT/dt = −K(T − 80), where K is a positive constant. If T(15) = 120°F, then T(45) is equal to
Answer: (B)
Solution
Integrating, |T − 80| = . At t = 15: 40 = , so
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