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/an
A)Ellipse
B)Straight line
C)Parabola
D)Circular arc

Question

Quizplus · Accepted Answer

The cooling of a hot liquid in a room follows Newton's law of cooling, which states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature. This relationship leads to an exponential decay in temperature difference over time. When the logarithm of the temperature difference is plotted against time, the exponential decay becomes a linear decrease, hence the plot is a straight line.

A Hot Liquid Is Kept in a Big Room