10-2.Transmission of Heat
medium

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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