Home
Class 12
PHYSICS
According to Newton’s law of cooling ms ...

According to Newton’s law of cooling ms `(d theta)/(dt)=-K(theta-theta_0)`. If `sigma` is Stefan’s constant, A is surface area of the body and `T_@` is temperature of surroundings in K, then the value of K on the basis of Stefan-Boltzmann law is –

A

`sigma AT_(0)^4`

B

`sigma AT_0^3`

C

`4sigma AT_0^4`

D

`4sigma A T_0^3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise EXERCISE - 2|45 Videos

  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise Exercise - 3 Section-A|21 Videos

  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise SPECIFIC PROBLEMS –|5 Videos

  • HEAT - 1

    MOTION|Exercise EXERCISE -4 (Level - II) Previous Year | JEE Advanced|22 Videos

  • HEAT-2

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|30 Videos

Similar Questions

Explore conceptually related problems

In Newton's law of cooling (d theta)/(dt)=-k(theta-theta_(0)) the constant k is proportional to .

In newton's law of cooling in the form (dDeltatheta)/(dt)=-kDeltatheta What factors does the constant k depend upon? What are the dimensions of k?

The solution of the differential equation (d theta)/(dt)=-k(theta-theta_(0)) where k is constant, is . . . .

A hot body placed in a surrounding of temperature theta_(0) obeys Newton's law of cooling (d theta)/(dt)=-k(theta-theta_(0)) . Its temperature at t=0 is theta_(1) the specific heat capacity of the body is s and its mass is m. Find (a) the maximum heat that the body can lose and (b) the time starting from t=0 in which it will lose 90% of this maximum heat.

According to Newton's law of cooling, the rate of cooling of a body is proportional to (Delta theta)^n , where Delta theta is the difference of the temperature of the body and the surroundings, and n is equal to

Dimensional formula for stefan’s constant is: (here K denotes the temperature)

According to Newton’s law of cooling, the rate of cooling of a body is proportional to (Deltatheta)^(n) , where Deltatheta is the difference of the temperature of the body and the surrounding, and n is equal to :

Ac cording to Newton's law of cooling, the rate of cooling of a body is proportional to (Delta theta)^(n) , where Delta theta is the difference of the temperature of the body and thae surrounding. What is the value of n out of 4,3,2,and 1?

MOTION-HEAT TRANSFER & THERMAL EXPANSION -EXERCISE - 1
  1. A solid sphere, a cube and a plate, all are made of same material and ...

    Text Solution

    |

  2. Consider two hot bodies B(1) and B(2) which have temperature 100^(@)"C...

    Text Solution

    |

  3. According to Newton’s law of cooling ms (d theta)/(dt)=-K(theta-theta0...

    Text Solution

    |

  4. is temperature of surroundings in K, then the value of K on the basis ...

    Text Solution

    |

  5. A body takes, 4 minutes to cool from 100^(@)C to 70^(@)C, if the room ...

    Text Solution

    |

  6. When placed in air at 30^(@)C, the temperature of a body decreases fro...

    Text Solution

    |

  7. Frequency for maximum energy radiation of ideal black body at tempertu...

    Text Solution

    |

  8. The wavelength of maximum emitted energy of a body at 700 K is 4.08 mu...

    Text Solution

    |

  9. The spectral emissive power of a black body at a temperature of 6000K ...

    Text Solution

    |

  10. Temperature of an ordinary bulb is 3000^@K. At what wave length will i...

    Text Solution

    |

  11. If for a black body the graph of change is emissive power at different...

    Text Solution

    |

  12. An iron ball is heated. The percentage increase will be the largest in...

    Text Solution

    |

  13. Two holes of unequal diameters d(1) and d(2)(d(1)gt d(2)) are cut in m...

    Text Solution

    |

  14. Two rods of length l(1) and l(2) are made of material whose coefficien...

    Text Solution

    |

  15. A metallic bar is heated from 0^(@)C to 100^(@)C. The coefficient of l...

    Text Solution

    |

  16. A metal wire of length jl and area of cross - section A is fixed betwe...

    Text Solution

    |

  17. The temperatuire of a pendulum, the time period of which is t, is rais...

    Text Solution

    |

  18. A pendulum clock has an iron pendulum 1 m long (alpha("iron")=10^(-5) ...

    Text Solution

    |

  19. The density of a substance at 0^(@)C is 10 g//c c and at 100^(@)C, its...

    Text Solution

    |

  20. A liquid with coefficient of volume expansion gamma is filled in a con...

    Text Solution

    |