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A deep rectangular pond of surface area , containing water (density = , specific heat capacity = ), is located in a region where the outside air temperature is at a steady value of . The thickness of the ice layer in this pond at a certain instant is . Taking the thermal conductivity of ice as , and its specific latent heat of fusion as , the rate of increase of the thickness of the ice layer, at this instant, would be given by:

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

The rate of heat conduction through the ice layer is .Here (water-ice interface) and (air)..This heat comes from freezing of water into ice..Dividing by : .Equating both: .

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A deep rectangular pond of surface area , containing water (density = , specific heat capacity = ), is located in a region where the outside air temperature is at a steady value of . The thickness of the ice layer in this pond at a certain instant is . Taking the thermal conductivity of ice as , and its specific latent heat of fusion as , the rate of increase of the thickness of the ice layer, at this instant, would be given by:
A
B
C
D

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