Home
Class 11
PHYSICS
A body with an initial temperature theta...

A body with an initial temperature `theta`, is allowed to cool in a surrounding which is at a constant temperature of `theta_(0)(theta_(0)lt theta_(i))`. Assume that Newton.s law of cooling is obeyed. Let k = constant. The temperature of the body after time t is best expressed by

A

`(theta_(i)-theta_(0))_(e)^(-kt)`

B

`(theta_(i)-theta_(0))log(kt)`

C

`theta_(0)+(theta_(i)-theta_(0))e^(-kt)`

D

`theta_(i)e^(-kt)-theta_(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (LECTURE SHEET (ADVANCED)) Straight Objective Type Questions|6 Videos
  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (LECTURE SHEET (ADVANCED)) More than One correct answer Type Questions|4 Videos
  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) Thermal Conduction (LEVEL-II) Integer Type Questions|2 Videos
  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|4 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise Practice Exercise|45 Videos

Similar Questions

Explore conceptually related problems

A black body of mass 34.38 gm and surface area 19.2" cm"^(2) is at an initial temperature of 400K. It is allowed to cool inside an evacuated enclosure kept at constant temperature 300K. The rate of cooling is 0.04^(0)C per second. The specific heat of the body in J kg^(-1)K^(-1) is approximately

A black body of mass 34.38 g and surface area 19.2cm^(2) is at an intial temperature of 400 K. It is allowed to cool inside an evacuated enclosure kept at constant temperature 300 K. The rate of cooling is 0.04^(@)C//s . The sepcific heat of the body J kg^(-1)K^(-1) is (Stefan's constant, sigma = 5.73 xx 10^(-8)Wm^(-2)K^(-4))

A body at 50^(@)C cools in a surroundings maintained at 30^(@)C . The temperature at which the rate of cooling is half that of the beginning is

AAKASH SERIES-TRANSMISSION OF HEAT-ADDITIONAL PRACTICE EXERCISE (LEVEL-I (MAIN)) Straight Objective Type Questions
  1. In a 10 metre deep lake, the bottom is at a constant temperature of 4^...

    Text Solution

    |

  2. A and B are two points on a uniform metal ring whose centre is C. The ...

    Text Solution

    |

  3. Heat is flowing through two cylindrical rods of the same material. The...

    Text Solution

    |

  4. In natural convection, a heated portion of a liquid moves because

    Text Solution

    |

  5. It is hotter over top of the fire than at same distance on the sides d...

    Text Solution

    |

  6. Ventilation are provided at the top of room

    Text Solution

    |

  7. While measuring the thermal conductivity of a liquid we keep the upper...

    Text Solution

    |

  8. A slab of ice is one half covered with black cloth and the other half ...

    Text Solution

    |

  9. Two rods of same length and material transfer a given amount of heat i...

    Text Solution

    |

  10. Two rods of same length and areas of cross-section A(1) and A(2) have ...

    Text Solution

    |

  11. A body cools from 80^(0) C to 60^(0) C in 2 minutes. In how much time ...

    Text Solution

    |

  12. A 100 watt bulb operates at 3000K. Assuming it loses energy only by ra...

    Text Solution

    |

  13. The filament of a 60 watt electric light bulb of diameter 0.06 mm runs...

    Text Solution

    |

  14. A body with an initial temperature theta, is allowed to cool in a surr...

    Text Solution

    |

  15. A black body is at a temperature of 2880 K. The energy of radiation em...

    Text Solution

    |

  16. The power radiated by a black body is P, and it radiates maximum energ...

    Text Solution

    |

  17. A planet is at an average distance d from the sun, and its average sur...

    Text Solution

    |

  18. The temperature of an isolated black body falls from T(1) to T(2) in t...

    Text Solution

    |

  19. A block of metal is heated to a temperature much higher than the room ...

    Text Solution

    |