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A body cools in 7 minutes from 60^(@)C t...

A body cools in 7 minutes from `60^(@)C` to `40^(@)C`. What will be its temperature after the next 7 minutes? The temperature of the surrounding is `10^(@)C`. Assume that Newton's law of cooling holds good throughout the process.

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To solve the problem using Newton's Law of Cooling, we will follow these steps: ### Step 1: Understand the given data - Initial temperature of the body, \( T_1 = 60^\circ C \) - Final temperature after 7 minutes, \( T_2 = 40^\circ C \) - Surrounding temperature, \( T_0 = 10^\circ C \) - Time interval, \( t = 7 \) minutes = \( 7 \times 60 = 420 \) seconds ...
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