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JEE Main202524 Jan 2025Evening ShiftPhysicsThermal Properties of MatterActual

The temperature of a body in air falls from 40^ C to 24^ C in 4 minutes. The temperature of the air is 16^ C . The temperature of the body in the next 4 minutes will be:

Options

  1. A14 3 ^ C
  2. B42 3 ^ C
  3. C28 3 ^ C
  4. D56 3 ^ C

Correct answer

D. 56 3 ^ C

Step-by-step solution

aligned & T=T₂-T₁=16^ C & And T₀=16^ C & T t₁ =-k (32-16^ )...(i) & (24-T₃ ) 4 =-k ( 24+T₃ 2 -16 ) ....(ii) & 16 4 =-k(16) & (24-T₃ ) 4 =-k (12+ T₃ 2 -16 ) & 16 24-T₃ = 16 T₃ T₂ & T₃ 2 -4=24-T₃ & 3 T₃ 2 =28 & T₃= 56 3 ^ C aligned

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