Bottom of a lake is at 0^{circ} C and atmospheric temperature is -20^{circ} C . If 1 cm ice is forme

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10-2.Transmission of Heat

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Bottom of a lake is at $0^{\circ} C$ and atmospheric temperature is $-20^{\circ} C$. If $1 cm$ ice is formed on the surface in $24 \,h$, then time taken to form next $1 \,cm$ of ice is ......... $h$

A

$24$

B

$72$

C

$48$

D

$96$

Solution

(b)

Time intervals to change thickness from 0 to $x$ from $x$ to $2 x$ are in ratio of $1: 3: 5: 7 \ldots \ldots$

$\therefore t_1:t_2=1: 3$

$=24: 24 \times 3$

$\Rightarrow t_2=72 \text { hours }$

Standard 11

Physics

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