ISRO Mechanical & Aerospace 2014 - Question 9

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Topic: Heat Transfer

A hot liquid is kept in a big room. Its temperature (theta) is plotted as a function of time (t), which of the following curve may represent the plot?

Figure for question 9, ISRO Mechanical & Aerospace 2014

  • A. Curve d
  • B. Curve b
  • C. Curve c
  • D. Curve a

Answer: D. Curve a

Explanation: The graph of the temperature of a cooling body versus time is known as a cooling curve. According to Newton's law of cooling, the temperature falls exponentially with time, represented by the general equation T(t) = T_A + (T_H - T_A)e^(-kt). This exponential decay corresponds to curve 'a'.

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