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MHT CET 2026 (13 May, Shift 2) · Newton's Law of Cooling

Newton's Law of Cooling question from MHT CET 2026 (13 May, Shift 2)

Q1MHT CET 2026 · 13 MAY · SHIFT 2Medium

Newton's Law of Cooling

Two hot bodies B1B_1 and B2B_2 have temperature 100∘100^\circC and 80∘80^\circC respectively at t=0t = 0. The temperature of the surroundings is 40∘40^\circC. The ratio of the respective rates of cooling R1R_1 and R2R_2 of these two bodies at t=0t = 0 will be

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Answer: (a)

  1. Newton's law of cooling: rate ∝(T−T0)\propto (T - T_0).
  2. R1R2=100−4080−40=6040\frac{R_1}{R_2} = \frac{100 - 40}{80 - 40} = \frac{60}{40}
  3. So the answer is (a) R1:R2=3:2R_1 : R_2 = 3 : 2.
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