Q221 / 225 · JEE Main 2003 · Physics

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

  • A
    two
  • B
    three
  • C
    four
  • Correct answer
    D
    one

Solution

$\frac{\mathrm{dH}}{\mathrm{dt}} \propto\left(\theta_2-\theta_1\right)=(\Delta \theta)^{\mathrm{n}} \Rightarrow \mathrm{n}=1$

Hence, the correct answer is option: 'D'.

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