There is formation of layer of snow x cm thick on water, when the temperature of air is `-theta^(@)C` (less than freezing point). The thickness of layer increases from x to y in the time r, then the value of t is given by

An ice layer of thickness d_1 is floating on a pond of water. The atmospheric temperature is - T^@C . What is the time taken for the thickness of the layer to increase from d_1 to d_2 if L, rho and K are the latent heat of fusion of water, density of ice and thermal conductivity of ice, respectively?

A layer of ice 2 cm thick is formed on a pond. The temperature of air is -20^(@)C . Calculate how long it will take for the thickness of ice to increase by 1mm. Density of ice = 1g cm^(-3) . Latent heat of ice = 80 cal g^(-1) . Conductivity of ice = 0.008 cal s^(-1) cm^(-1) .^(@)C^(-1) .

A layer of ice of 0^(@)C of thickness x_(1) is floating on a pond. If the atmospheric temperature is -7^(@)C . Show that the time taken for thickness of the layer of ice to increase from x_(1) to x_(2) is given by t=(pL)/(2kT)(x(2)/(2)-x_(1)^(2)) where p is the density of ice, k its thermal conductivity and L is the latent heat of fusion of ice.

A layer of ice of 0^(@)C of thickness x_(1) is floating on a pond. If the atmospheric temperature is -7^(@)C . Show that the time taken for thickness of the layer of ice to increase from x_(1) to x_(2) is given by t=(pL)/(2kT)(x(2)/(2)-x_(1)^(2)) where p is the density of ice, k its thermal conductivity and L is the latent heat of fusion of ice.

The temperature coefficient of a reaction is 2. When the temperature is increased from 30^(@)C to 90^(@)C , the rate of reaction is increased by x times. Value of x is ?

Ice starts forming in a lake with water at 0^(@)C when the atmosphere temperature is -10^(@)C .If the time taken for first 1cm of ice be formed is 12 minute; the time taken for the thickness of the ice to change from 1cm to 2cm will be: