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Physics · PYQ NEET UG 2016(2)

हिन्दी

A body cools from a temperature \( 3T \) to \( 2T \) in 10 minutes. The room temperature is \( T \). Assume that Newton's law of cooling is applicable. The temperature of the body at the end of next 10 minutes will be

  1. \( T \)
  2. \( \frac{7}{4}T \)
  3. \( \frac{3}{2}T \)
  4. \( \frac{4}{3}T \)

Correct answer · Option 4

\( \frac{4}{3}T \)

Explanation

Applying Newton's law of cooling \( \frac{dT}{dt} = -K(T - T_0) \), integrating between limits gives the ratio of temperature differences. For the next 10 minutes, the temperature decreases to \( \frac{4}{3}T \).
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