Home
Class 11
PHYSICS
A lake is covered with ice 5 cm thick an...

A lake is covered with ice 5 cm thick and the atmospheric temperature above the ice is` – 10^(@)C`. At what rate (in cm/hour) will the ice layer thicken? Thermal conductivity of ice `= 0.005` cgs unit, density of ice `= 0.9 g//cc` and latent heat of fusion of ice = 80 cal/g.

A

`0.5"cm hr"^(-1)`

B

`1.5"cm hr"^(-1)`

C

`2.5"cm hr"^(-1)`

D

`3.5"cm hr"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

`0.5"cm hr"^(-1)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The thickness of ice in a lake is 5cm and the atmospheric temperature is 10^(@)C Calculate the time rquired for the thickness of ice to grow to 7cm Therml conductivity for ice =4 xx 10^(-3) cal cm^(-1) s^(-1) c^(-10 density of ice =0.92 g //cm^(3) and latent heat of fusion of ice =80 cal//g .

What does the statement, 'latent heat of fusion for ice is 80 cal/g' mean?

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)

Calculate the amount of heat required to convert5g of ice of 0^(@)C into water at 0^(@)C . ( Specific latent heat of fusion of ice 80 cal //g )

A hollow sphere of glas whose external and internal radii are 11 cm and 9 cm respectively is completely filled with ice at 0^@C and placed in a bath of boiling water. How long will it take for the ice to melt completely? Given that density of ice = 0.9 g//cm^3 , latent heat of fusion of ice = 80 cal//g and thermal conductivity of glass =0.002 cal//cm-s^@C .

Specific latent of fusion of ice is 80 cal/g. Explain this statement ?

On the Dal lake of Kashmir, a layer of 2 cm thick ice is formed when the outside temperature is -10^@C . How much time it will take for the increase in thickness of ice by 0.5 mm? Take, Density of ice = 1 g//c^3 m Latent heat of ice = 80 cal/g Thermal conductivity of ice = 0.008 cal s^(-1) cm^(-1) ""^@C^(-1)

How many calories of heat will be absorbed when 2kg of ice at 0^(@)C melts ? ( Specific latent heat of fusion of ice = 80 cal //g )

A hollow sphere of glass whose external and internal radii are 11cm and 9cm respec-tively is completely filled with ice at 0^(@)C and placed in a both of boiling water How long will it take for the ice to melt completely ? Givne that density of ice =0.9g//cm^(3) latent heat of fusion of ice =80 cal//g and thermal conductivity of glass =0.002 cal//cm-s^(@)C .

ARIHANT-HEAT TRANSFER-Heat Transfer
  1. A thick spherical shell of inner and outer radii r and R respectively ...

    Text Solution

    |

  2. Three bars of aluminium, brass and copper are of equal length and cros...

    Text Solution

    |

  3. A lake is covered with ice 5 cm thick and the atmospheric temperature ...

    Text Solution

    |

  4. A liquid having mass m = 250 g is kept warm in a vessel by use of an e...

    Text Solution

    |

  5. (i) A cylindrical pipe of length L has inner and outer radii as a and ...

    Text Solution

    |

  6. A 3 mm diameter and 5 m long copper wire is insu- lated using a 2 mm t...

    Text Solution

    |

  7. A potato at initial temperature T(0) is placed inside a hot convection...

    Text Solution

    |

  8. What is emissivity of a perfectly reflecting surface?

    Text Solution

    |

  9. A body is in thermal equilibrium with surrounding. Absorptive power of...

    Text Solution

    |

  10. A copper sphere is maintained at 500 K temperature by connecting it to...

    Text Solution

    |

  11. Stefan’s contain (s) derives from other known con- stant of nature, vi...

    Text Solution

    |

  12. An iron ball is heated to 727^(@)C and it appears bright red. The plot...

    Text Solution

    |

  13. A solid cylinder and a sphere of same material are suspended in a room...

    Text Solution

    |

  14. A block body at temperature T radiates same amount of energy in the wa...

    Text Solution

    |

  15. Majority of radiation from the Sun is in visible and near infra-red (0...

    Text Solution

    |

  16. A metal ball of mass 1.0 kg is kept in a room at 15^(@)C. It is heated...

    Text Solution

    |

  17. A hot body is suspended inside a room that is maintained at a constant...

    Text Solution

    |

  18. Newton’s law of cooling says that the rate of cooling of a body is pro...

    Text Solution

    |

  19. “Blue hot is hotter than red hot”. Explain.

    Text Solution

    |

  20. A planet of radius r(0) is at a distance r from the sun (r gtgt r(0))....

    Text Solution

    |