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10-2.Transmission of Heat
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Ice starts forming in lake with water at ${0^o}C$ and when the atmospheric temperature is $ - {10^o}C$. If the time taken for $1 \;cm$ of ice be $7$ hours, then the time taken for the thickness of ice to change from $1\; cm$ to $2\; cm$ is
A
$7$ hours
B
$14$ hours
C
Less than $7$ hours
D
More than $7$ hours
Solution
(d) $t = \frac{{\rho L}}{{2K\theta }}(x_1^2 – x_2^2)$
==>$t \propto (x_2^2 – x_1^2)$
==> $\frac{t}{{t'}} = \frac{{(x_2^2 – x_1^2)}}{{(x{'_2}^2 – x{'_1}^2)}}$
==> $\frac{7}{{t'}} = \frac{{({1^2} – {0^2})}}{{({2^2} – {1^2})}}$
==> $t' = 21\,hours$
Standard 11
Physics
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