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10-2.Transmission of Heat
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ગરમ પાણીનું તાપમાન ${60^o}C$ થી ${50^o}C$ થતા $10 \,min$ લાગે છે, અને તાપમાન ${50^o}C$ થી $42^oC$ થતા $10 \,min$ લાગે છે. તો વાતાવરણનું તાપમાન ........ $^oC$ હશે?
A
$5$
B
$10$
C
$15$
D
$20$
Solution
$\Rightarrow \frac{{{\theta _1} – {\theta _2}}}{t} \propto \left[ {\frac{{{\theta _1} + {\theta _2}}}{2} – \theta } \right]$
$\Rightarrow \frac{{60 – 50}}{{10}} \propto \left[ {\frac{{60 + 50}}{2} – \theta } \right]$
$\Rightarrow 1 = K\, [55 -\theta ]\,\,……(i)$
$\Rightarrow \frac{{50 – 42}}{{10}} \propto \left[ {\frac{{50 + 42}}{2} – \theta } \right]$
$\Rightarrow 0.8 = K \,(46 -\theta ) \,\,…..(ii)$
$\Rightarrow \theta = 10^oC$
Standard 11
Physics