Home
Class 11
PHYSICS
A hollow copper sphere S and a hollow co...

A hollow copper sphere S and a hollow copper cube C, both of negligible thin walls of same area, are filled with water at `90° C` and allowed to cool in the same environment. The graph that correctly represents their cooling is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C

As `(d theta)/(dt)=(epsilon A sigma)/(mc) 4 theta^3 Delta theta`
For given sphere and cube `( epsilon A sigma)/(mc) 4 theta^3 Delta theta` is constant `(d theta)/(dt)` = constant.
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Radiation (Newton.s Law of Cooling))|11 Videos
  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise PAST YEARS QUESTIONS|21 Videos
  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Radiation (Wien.s law))|13 Videos
  • THERMOMETRY, THERMAL EXPANSION AND CALORIMETRY

    ERRORLESS|Exercise ASSERTION & REASON|10 Videos
  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos

Similar Questions

Explore conceptually related problems

Assertion : A solid sphere of copper of radius R and a hollow sphere of the same material of inner radius r and outer radius R are heated to the same temperature and allowed to cool in the same environment. The hollow sphere cools faster. Reason : Rate of cooling is according to Stefan's law which is E alpha T^(4)

A solid sphere of copper of radius R and a hollow sphere of the same materail of inner radius r and outer radius A are heated to the same temperature and allowed to cool in the same environment. Which of tehm starts cooling faster?

A hollow copper sphere & a hollow copper cube of same surface area & negligible thickness , are filled with warm water of same temperature and placed in an enclosure of constant temperature a few degrees below that of the bodies. Then in the beginning:-

A solid sphere and a hollow sphere of the same material and size are heated to the same temperature and allowed to cool in the same surroundings. If the temperature difference between the surroundings and each sphere is T, then :

A sphere and a cube of same material and same volume are heated up to same temperature and allowed to cool in the same sorroundings. The radio of the amounts of radiations emitted in equal time intervals will be

Assertion : A solid sphere and a hollow sphere of same material and same radius are kept at same temperature in atmosphere. Rate of cooling of hollow sphere will be more. Reason : If all other conditions are same, then rate of cooling is inversely proportional to the mass of body.

A solid sphere, a cube and a plate, all are made of same material and all have same mass. These are heated to a temperature 100^@C and then allowed to cool at the temperature of room. Which of these will cool down first –

ERRORLESS-TRANSMISSION OF HEAT -NCERT BASED QUESTIONS (Radiation (Stefan.s law))
  1. If the temperature of a hot body is increased by 50%, then the increas...

    Text Solution

    |

  2. The radiation emitted by a star A is 10,000 times that of the sun. If ...

    Text Solution

    |

  3. The total energy radiated from a block body source at constant tempera...

    Text Solution

    |

  4. The top of an insulated cylindrical container is covered by a disc hav...

    Text Solution

    |

  5. The total energy of a black body radiation source is collected for fiv...

    Text Solution

    |

  6. The rate of radiation of a black body at 0° C is E . The rate of radia...

    Text Solution

    |

  7. A black body radiates energy at the rate of E W//m at a high temperat...

    Text Solution

    |

  8. A black body at 227^(@)C radiates heat at the rate of 7 cal cm^(-2) s...

    Text Solution

    |

  9. If the sun's surface radiates heat at 6.3 xx 10^(7) Wm^(-2). Calculate...

    Text Solution

    |

  10. A sphere at temperature 600 K is placed in an enviroment to temperatur...

    Text Solution

    |

  11. Which of the following graphs correctly represents the relation betwe...

    Text Solution

    |

  12. If temperature of a black body increases from 7^(@)C to 287^(@)C , the...

    Text Solution

    |

  13. The tungsten filament of an electric lamp has a surface areaA and a po...

    Text Solution

    |

  14. Two spherical black bodies of radii r1 and r2 and with surface tempera...

    Text Solution

    |

  15. The total radiative power emitted by spherical blackbody with radius R...

    Text Solution

    |

  16. Assuming the sun to have a spherical outer surface of radius r radiati...

    Text Solution

    |

  17. The energy spectrum f a black body exhibits a maximum around a wavelen...

    Text Solution

    |

  18. A sphere a cube and thin circular plate, all made of the same material...

    Text Solution

    |

  19. Two circular disc A and B with equal radii are blackened. They are hea...

    Text Solution

    |

  20. A hollow copper sphere S and a hollow copper cube C, both of negligibl...

    Text Solution

    |