Home
Class 12
PHYSICS
Bottom of a lake is at 0^(@)C and atmosp...

Bottom of a lake is at `0^(@)C` and atmospheric temperature is `-20^(@)C`. If 1 cm ice is formed on the surface in 24 h, then time taken to form next 1 cm of ice is

A

24 h

B

72 h

C

48 h

D

96 h

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Ice starts forming in lake with water at 0^(@)C and when the atmospheric temperature is -10^(@)C . If the time taken for 1 cm of ice be 7 hours. Find the time taken for the thickness of ice to change from 1 cm to 2 cm

On a winter day when the atmospheric temperature drops to -10^(@)C , ice forms on the surface of a lake. (a) Calculate the rate of increases of thickness of the ice when 10cm of ice is already formed. (b) Calculate the total time taken in forming 10cm of ice. Assume that the temperature of the entire water reaches 0^(@)C before the ice starts forming. Density of water =1000kgm^(-3) , latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) and thermal conductivity of ice =1.7Wm^(-1)C^(-1) . Neglect the expansion of water on freezing.

A lake surface is exposed to an atmosphere where the temperature is lt 0^(@)C . If the thickness of the ice layer formed on the surface grows form 2cm to 4cm in 1 hour. The atmospheric temperature, T_(a) will be- (Thermal conductivity of ice K = 4 xx 10^(-3) cal//cm//s//.^(@)C , density of ice = 0.9 gm//ice. Latent heat of fustion of ice = 80 cal//m . Neglect the change of density during the state change. Assume that the water below the ice has 0^(@) temperature every where)

Most substances contract on freezing . However, water does not belong to this category. We know that water expands on freezing. Further , coefficient of volume expansion of water in the temperature range from 0^(@)C to 4^(@)C is negative and above 4^(@)C it is positive . This behaviour of water shapes the freezing of lakes as the atmospheric temperature goes down and it is still above 4^(@)C . If the atmospheric temperature is below 0^(@)C and ice begins to form at t = 0 , thickness of ice sheet formed up to a time 't' will be directly proprotional to

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.

An air bubble of volume 1.0 cm^(3) rises from the bottom of a lake 40 m deep at a temperature of 12^(@) C . To what volume does it grow when it reaches the surface, which is at a temperature of 35^(@) C . ? Given 1 atm = 1.01 xx 10^(5) Pa .

An air bubble of volume 1.0 cm^(3) rises from the bottom of a lake 40 m deep at a temperature of 12^(@) C . To what volume does it grow when it reaches the surface, which is at a temperature of 35^(@) C . ? Given 1 atm = 1.01 xx 10^(5) Pa .

When ice melts at 1^(@)C :

Thickness of ice on a lake is 5 cm and the temperature of air is -20^(@)C . If the rate of cooling of water inside the lake be 20000 cal min^(-1) through each square metre surface , find K for ice .

An air bubble starts rising from the bottom of a lake. Its diameter is 3.6 mm at the bottom and 4 mm at the surface. The depth of the lake is 250 cm and the temperature at the surface is 40^@ C . What is the temperature at the bottom of the lake? Given atmospheric pressure = 76 cm of Hg and g = 980 cm//s^2 .