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A body cools from 65°C to 55°C in 8 minute in a room at temperature 30°C. Temperature of the body at the end of next 8 minute will be

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41°C

42°C

47.8°C

50°C

answer is C.

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Detailed Solution

$\frac{10}{8} = K (60 - 30) & \frac{5}{4} = K \times 30 \Rightarrow K = \frac{1}{24}$
$\frac{55 - θ}{8} = \frac{1}{24} [\frac{55 + θ}{2} - 30]$
$330 - 6 θ = θ - 5 \Rightarrow 335 = 7 θ \Rightarrow θ = 47 {.8}^{\circ} C$

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