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JEE Mains · Physics · STD 11 - 10.2 transmission of heat

A bowl filled with very hot soup cools from \(98^{\circ}\,C\) to \(86^{\circ}\,C\) in \(2\) minutes when the room temperature is \(22^{\circ}\,C\). \(..........\,minutes\) long it will take to cool from \(75^{\circ}\,C\) to \(69^{\circ}\,C\) ?

  1. A \(2\)
  2. B \(1.4\)
  3. C \(0.5\)
  4. D \(1\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.4\)

Step-by-step Solution

Detailed explanation

\(\frac{\Delta Q }{\Delta t }=- K \left( T - T _0\right)\) \(\frac{\Delta Q }{\Delta t }=- K \left( T _{ avg }- T _0\right)\) \((i)\) \(\frac{ ms \times 12}{2}=- K \left(\frac{98+86}{2}-22\right)\) \(6=-\frac{ K }{ ms }\left[\frac{98+86}{2}-22\right]\)…
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