Home
Class 12
PHYSICS
A cylindrical rod with one end in a stea...

A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1 g of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is 1/4 that of first, the rate at which ice melts in `g//s` will be

A

3.2

B

1.6

C

0.2

D

0.1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 76

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos
  • NTA JEE MOCK TEST 78

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1 g of ice per second. If the rod is replaced by another rod with half the length and double the radius of the first and if the thermal conductivity of material of the second rod is 0.25 times that of first, the rate at which ice melts in gs^(-1) will be:

A cylindrical rod with one end in a steam chamber and the other end is in ice It is found that 1gm of ice melts per second If the rod is replaced by another one of same material double the length and double area of cross section, The mass of ice that melts per second is .

One end of a cylindrical rod is kept in steam chamber and the other end in melting Ice. Now 0.5gm of ice melts in 1sec if the rod is replaced by another rod of same length half the diameter then rate of melting of ice will be (in gm/sec) .

One end of a metal rod is dipped in boiling water and the other is dipped in melting ice.

Two hollow suphers of same material one with double the radius of the other and double the thickness of the other filled with ice, the ratio of time in which ice gets melted in the two spheres is .

One end of a metal rod of length 1.0 m and area of cross section 100 cm^(2) is maintained at . 100^(@)C . If the other end of the rod is maintained at 0^(@)C , the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod = 100 W//m-K )

A cylindrical rod of 50 cm length and having 1 cm^(2) cross sectional area isused as a conducting material between an ice bath at 0^(@)C and a vacuum chamber at 27^(@)C as shown in figure. The end of rod which is inside the vacuum chamber behaves like a black body and is at temperature 17^(@)C in steady state. Find the thermal conductivity of the material of rod and rate at which ice is melting in the ice bath. Given that latent heat of fusion of ice is 3.35 xx l0^(5) J//kg ..

A cylindrical metallic rod in thermal contact with two reservation of heat at its two ends conducts an amount of heat Q in time t . The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod when placed in thermal contact with the two reservation in time t?

One end of 0.5 m long metal rod is in steam at 100^@C and the other end is put in ice at 0^@C . If ice melts at the rate of 10 g/min, calculate the thermal conductivity of the metal. Take, cross sectional area of rod = 2pi cm^2 . Latent ice of heat = 80 cal/g

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 .

NTA MOCK TESTS-NTA JEE MOCK TEST 77-PHYSICS
  1. Two thin wire rings each having a radius R are placed at a distance d ...

    Text Solution

    |

  2. Given below are the equations of motion of four particles A, B, C and ...

    Text Solution

    |

  3. Imagine a light planet revolving around a very massive star in a circu...

    Text Solution

    |

  4. A cylindrical rod with one end in a steam chamber and the other end in...

    Text Solution

    |

  5. An ideal gas heat engine operates in a Carnot's cycle between 227^(@)C...

    Text Solution

    |

  6. The quarter disc of radius R (see figure) has a uniform surface charge...

    Text Solution

    |

  7. The trajectory of a projectile in a vertical plane is y = ax - bx^2, w...

    Text Solution

    |

  8. A radioactive sample of half life 10 days contains 1000X nuclei. Numbe...

    Text Solution

    |

  9. A uniform wire of length L, diameter D and density rho is stretched un...

    Text Solution

    |

  10. The work done in increasing the radius of a soap bubble from R to 3 R ...

    Text Solution

    |

  11. The eye can be regarded as a single refracting surface is equal to tha...

    Text Solution

    |

  12. A uniform, thin cylindrical shell and solid cylinder roll horizontally...

    Text Solution

    |

  13. For given logic diagram, outupt F = 1, then inputs are

    Text Solution

    |

  14. If unit of length, mass and time each be doubled, the new unit of work...

    Text Solution

    |

  15. Two identical piano strings of length 0.750 m are each, tuned exactly ...

    Text Solution

    |

  16. Two identical blocks A and B are placed on a rough inclined plane of i...

    Text Solution

    |

  17. The man scale of a Vernier Callipers reads in millimeter and its verni...

    Text Solution

    |

  18. The radiation emitted by the surface of the Sun emits maximum power at...

    Text Solution

    |

  19. In Young's double slit experiment, how many maxima can be obtained on ...

    Text Solution

    |

  20. A small object of mass of 100 g moves in a circular path. At a given i...

    Text Solution

    |