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NEET2016PhysicsThermal Properties of MatterActual

A body cools from a temperature 3 T to 2 T 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

Options

  1. A7 4 T
  2. B3 2 T
  3. C4 3 T
  4. DT

Correct answer

B. 3 2 T

Step-by-step solution

T 1 - T 2 ∆ t = K T 1 + T 2 2 - T 0 3 T - 2 T 10 = K 2.5 T - T ⇒ T 10 = K 1.5 T K = 1 15 Now, 2 T - x 10 = K 2 T + x 2 - T Solving x = 3 T 2

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