Ice starts freezing in a lake with water at 0^ C when the atmospheric temperature is -10^ C . If the time taken for 1 cm of ice to be formed is 12 min , the time taken for the thickness of the ice to change from 1 to 2 cm will be

Step-by-step solution

Time taken by ice to grow a thickness of t= e L 2 K y^2 Hence time interval to change thickness from 0 to y , from y to 2 y and so on will be in the ratio t₁: t₂: t₃ = (1-0^2 ): (2^2-1^2 ): (3^2-2^2 ) t₁: t₂: t₃=1: 3: 5 According to question = t₁ terims aligned t₂=3 H & & =3 12=36 ~min aligned