Home
Class 12
PHYSICS
One end of a steel rod (K =42 J//m-s-^(@...

One end of a steel rod (`K =42 J//m-s-^(@)C)` of length `1.0m` is lept in ice at `0^(@)C` and the other end is kept in boiling water at `100^(@)C`. The area of cross-section of the rod is `0.04 cm^(2)`. Assuming no heat loss to the atmosphere, find the mass of the ice melting per second. Latent heat of fusion of ice `= 3.36 xx 10^(5) J//kg`.

Text Solution

Verified by Experts

The correct Answer is:
`5xx10^(-5) g//s`
Promotional Banner

Topper's Solved these Questions

  • HEAT - 1

    MOTION|Exercise EXERCISE -3 (Level - II) Subjective | JEE Advanced|11 Videos

  • HEAT - 1

    MOTION|Exercise EXERCISE -4 (Level - I) Previous Year | JEE Main|10 Videos

  • HEAT - 1

    MOTION|Exercise EXERCISE -2 (Level - II) Multiple Correct | JEE Advanced|16 Videos

  • GRAVITATION

    MOTION|Exercise Exercise - 4 Section - B Previous Years Problems|15 Videos

  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise Exercise - 3 Section-B|19 Videos

Similar Questions

Explore conceptually related problems

One end of a steel rod (K=46Js^(-1)m^(-1) ^(@)C^(-1) of length 1.0m is kept in ice at 0^(@)C and the other end is kept in boiling water at 100^(@)C . The area of cross section of the rod is 0.04cm^(2) . Assuming no heat loss to the atmosphere, find the mass of the ice melting per second. Latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) .

One end of a steel rod of length 1 m and area of cross section 4 xx 10^(-6)m^(2) is put in boiling water and the other end is kept in an ice bath at 0^(@)C. If thermal conductivity of steel is 46 W//m^(@)C, find the amount of ice melting per second if heat flow only by conduction. Given that the latent heat of fusion of ice is 3.36 xx 10^(5)J//kg.

One end of conducting rod is maintained at temperature 50^(@)C and at the other end ice is melting at 0^(@)C . The rate of melting of ice is doubled if:

One end of a brass rod of length 2.0 m and cross section 1cm^2 is kept in stream at 100^@C and the other end in ice at 0^@C . The lateral suface of the rod is covered by heat insulator. Determine the amount of ice melting per minute. Thermal conductivity of brass is 110 W//m-K and specific latent heat of fusion of ice is 80 cal//g .

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 )

Find the final temperature and composition of the mixtue of 1 kg of ice at 0^(@)C and 1.5 kg of water at 45^(@)C . Given that specific heat of water is 4200 J/kg and latent heat of fusion of ice is 3.36xx10^(5)J//kg

One end of a copper rod of length 1m and area of cross section 4.0 xx 10^(-4) m^(2) is maintained at 100^(@)C . Neglecting the loss of heat to the surroundings find the mass ice melted in 1 hour. Given K_(Cu) = 401 watt/m - k and L_(f) = 3.35 xx 10^(5) J//kg .

Find the final temeprature and composition of the mixture of 1 kg of ice at -10^(@)C and 4.4 kg of water at 30^(@)C . Given that specific heat of water is 4200J//kg^(@)C and that of ice is 2100J//kg^(@)C and latent heat of fusion of ice is 3.36xx10^(5) J/kg

A metal rod AB of length 10x has its one end A in ice at 0^@C , and the other end B in water at 100^@C . If a point P one the rod is maintained at 400^@C , then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540cal//g and latent heat of melting of ice is 80cal//g . If the point P is at a distance of lambdax from the ice end A, find the value lambda . [Neglect any heat loss to the surrounding.]

MOTION-HEAT - 1-EXERCISE -3 (Level - I) Subjective | JEE Advanced
  1. A copper cube of mass 200g slides down an a rough inclined plane of i...

    Text Solution

    |

  2. 10 gm ice at –10°C, 10 gm water at 20°C and 2g steam at 100°C are mixe...

    Text Solution

    |

  3. Materials A, B and C are solids that are at their melting temperatures...

    Text Solution

    |

  4. In the following equation calculate the value of H. 1kg steam at 200...

    Text Solution

    |

  5. From what heigh should a piece of ice fall so that it melts completely...

    Text Solution

    |

  6. In a thermally isolated container, material A of mass m is placed agai...

    Text Solution

    |

  7. A uniform slab of dimension 10cm xx 10cm xx 1cm is kept between two he...

    Text Solution

    |

  8. One end of a steel rod (K =42 J//m-s-^(@)C) of length 1.0m is lept in ...

    Text Solution

    |

  9. A rod CD of thermal resistance 5.0KW(-1) is joined at the middle of an...

    Text Solution

    |

  10. Three slabs of same surface area but different conductivities k(1),k(2...

    Text Solution

    |

  11. A thin walled metal tank of surface area 5m2 is filled with water tank...

    Text Solution

    |

  12. The figure shows the face and interface temperature of a composite sla...

    Text Solution

    |

  13. A solid copper cube and sphere, both of same mass & emissivity are hea...

    Text Solution

    |

  14. An electric heater of surface area 200cm^2 emits radiant energy of 60 ...

    Text Solution

    |

  15. If a body takes 6 minutes to cool from 80°C to 70°C, how long will it ...

    Text Solution

    |

  16. A cylindrical rod of heat capacity 120 J//K in a room temperature 27^(...

    Text Solution

    |

  17. A 100W bulb has tungsten filament of total length 1.0m and radius 4xx1...

    Text Solution

    |

  18. A copper sphere is suspended in an evacuated chamber maintained at 300...

    Text Solution

    |

  19. A pan filled with hot food cools from 50.1 °C to 49.9 °C in 5 sec. How...

    Text Solution

    |

  20. The spectral energy distribution of the sun has a maximum at 4754Å. If...

    Text Solution

    |