Question

According to Newton's law of cooling, the rate of cooling of a body is proportional to $(\Delta \theta)^n$, where $\Delta \theta$ is the difference of the temperature of the body and the surroundings, and $n$ is equal to

• A. 2
• B. 3
• C. 4
• D. 1

Answer 1

Answer: (D)

1

Answer 2

According to Newton's law of cooling
$\, \, \, \, \, \, \, \, \, \, \, \, \frac{dQ}{dt}? \Delta \theta$
$But \, \, \, \, \, \, \, \, \, \, \, \frac{dQ}{dt} ? (\Delta \theta)^n \, \, \, \, \, \, \, \, \, (given)$
$\therefore \, \, \, \, \, \, \, \, \, \, n=1$