Home
Class 12
PHYSICS
If a piece of metal is heated to tempera...

If a piece of metal is heated to temperature `theta` and the allowed to cool in a room which is at temperature `theta_0`, the graph between the temperature T of the metal and time t will be closet to

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
By Newton's Law of cooling `T = T_(S) + (T_(H) - T_(S))e^(-kt)`
`T_(S) rarr` Temperature of surrounding
`T_(H) rarr` Temperature of body at t = 0
`K rarr` constant
`T rarr` Temperature of body at time t
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 05 (B)|58 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 05 (B) (MCQ)|9 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 04 (B)|15 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

Which metal is a liquid at room temperature ?

The specific heat of metals at low temperature is

A sphere of radius r, density, rho and specific heat s is heated to temperature theta and then cooled in an enclosure at temperature theta_(0) . How , the rate of fall of temperature is related with r, rho and s?

The graph between the (velocity^(2)) and temperature T of a gas is

A non-metal which is gas at room temperature

The graph between surface tension and temperature T is

A piece of glass is heated to a high temperature and then allowed to cool. If it cracks, a probable reason for this is the following property of glass

ALLEN-GEOMETRICAL OPTICS-EXERCISE - 05 (A)
  1. A long metallic bar is carrying heat from one of its ends to the other...

    Text Solution

    |

  2. A liquid in a beaker has temperature theta(t) at time t and theta0 is ...

    Text Solution

    |

  3. If a piece of metal is heated to temperature theta and the allowed to ...

    Text Solution

    |

  4. One mole of a diatomic ideal gas undergoes a cyclic process ABC as sho...

    Text Solution

    |

  5. Three rods of Copper, Brass and Steel are welded together to from a Y ...

    Text Solution

    |

  6. Cooking gas container are kept in a lorry moving with uniform speed. T...

    Text Solution

    |

  7. At what temperature is the rms velocity of a hydrogen molecule equal t...

    Text Solution

    |

  8. 1 mole of a gas with gamma=7//5 is mixed with 1 mole of a gas with gam...

    Text Solution

    |

  9. During an adiabatic process, the pressure of gas is found to be propor...

    Text Solution

    |

  10. One mole of ideal monoatomic gas (gamma=5//3) is mixed with one mole o...

    Text Solution

    |

  11. A gaseous mixture consists of 16g of helium and 16 g of oxygen. The ra...

    Text Solution

    |

  12. If C(p) and C(v) denoted the specific heats of unit mass of nitrogen a...

    Text Solution

    |

  13. An insulated container of gas has two chambers separated by an insulat...

    Text Solution

    |

  14. The speed of sound in oxygen (O2) at a certain temperature is 460ms^-1...

    Text Solution

    |

  15. One kg of a diatomic gas is at pressure of 8xx10^4N//m^2. The density ...

    Text Solution

    |

  16. 100g of water is heated from 30^@C to 50^@C. Ignoring the slight expan...

    Text Solution

    |

  17. Three perfect gases at absolute temperature T(1), T(2) and T(3) are mi...

    Text Solution

    |

  18. The specific heat capacity of a metal at low temperature (T) is given ...

    Text Solution

    |

  19. A container with insulating walls is divided into two equal parts by a...

    Text Solution

    |

  20. Which statements is incorrect?

    Text Solution

    |