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A hot liquid is kept in a big room. The logarithm of the numerical value of the temperature difference between the liquid and the room is plotted against time. The plot will be very nearly
- a straight line
- a circular arc
- a parabola
- an ellipse.
Correct answer: a straight line
Solution
By Newton’s law of cooling, the temperature difference decays exponentially with time. The logarithm of an exponential function is linear in time, so the plot is very nearly a straight line.
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