Home
Class 11
PHYSICS
An aluminium sphere of 20cm diameter is ...

An aluminium sphere of `20cm` diameter is headed from `0^(@)C` to `100^(@)c`. Its volume changes by (given that the coefficient of linear expanison for aluminium `(alpha_(Al) = 23 xx 10^(-6//0)C)`

Text Solution

AI Generated Solution

To find the volume change of an aluminium sphere when heated from \(0^\circ C\) to \(100^\circ C\), we can follow these steps: ### Step 1: Determine the initial volume of the sphere The formula for the volume \(V\) of a sphere is given by: \[ V = \frac{4}{3} \pi r^3 \] ...
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL-III|22 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL-I (C.W.)|23 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL-I(H.W.)|21 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos
  • THERMODYNAMICS

    NARAYNA|Exercise Exercise|187 Videos

Similar Questions

Explore conceptually related problems

On heating water from 0^(@)C to 100^(@)C its volume

When water is heated from 0^@C to 20^@C its volume

When a metallic bar is heated from 0^(@)C to 100^(@)C its length increases by 0.05%. What is the coefficient of linear expansion of the metal?

When water is heated from 0^@ C to 20^@ C ,how does its volume change

When a glass block of volume 15,000 cm^3 is heated from 20^@C to 40^@C , its volume increases by 5 cm^3 . What is the coefficient of linear expansion of glass?

The coefficient of linear expansion of a metal rod is 12 xx 10^(-6//0)C , its value in per ^(0)F

A glass vessel of volume 100 cm^(3) is filled with mercury and is heated from 25^(@)C to 75^(@)C . What volume of mercury will overflow? Coefficient of linear expansion of glass = 1.8 xx 10^(-6)//'^(@)C and coefficeient of volume expansion of mercury is 1.8 xx 10^(-4)//'^(@)C .

A steel ball initially at a pressure of 1.0 xx 10^5 Pa is heated from 20^0 C to 120^0 C keeping its volume constant. Find the pressure inside the ball. Coefficient of linear expansion of steel = 12 xx 10^(-6) ^0 C^(-1) and bulk modulus of steel = 1.6 xx 10^(11) N m^(-2)

What should be the sum of lengths of an aluminium and steel rod at 0^(@)C is, so that all the temperature their difference in length is 0.25m . (Take coefficient of linear expansion for aluminium and steel at 0^(@)C as 22 xx 10^(-6)//.^(@)C and 11 xx 10^(-5)//.^(@)C respectively.)

An iron sphere of radius 10 cm is at temperature , 10^(@)C . If the sphere is heated upto temperature 110^(@)C , find the change in the volume of the sphere coefficient of linear expansion of iron = 11 xx 10^(-6) .^(@)C^(-1)

NARAYNA-THERMAL PROPERTIES OF MATTER-Examples
  1. When composite rod is free, composite rod is free, compositive length ...

    Text Solution

    |

  2. A metal rod of Young's modulas F and coefficient of thermal expansion ...

    Text Solution

    |

  3. An aluminium sphere of 20cm diameter is headed from 0^(@)C to 100^(@)c...

    Text Solution

    |

  4. A wooden wheel of radius R is made of two semicircular part . The two ...

    Text Solution

    |

  5. Volume of the bulb of a mercury thermometer at 0^(@)C is V(@) and area...

    Text Solution

    |

  6. A block flats in water at 4^(0)C so that 0.984 of its height is under ...

    Text Solution

    |

  7. A sphete of deamrter 7.0 cm and mass 266.5 g float in a bath of liquid...

    Text Solution

    |

  8. A long cylindrical metal vessel, having a linear coefficient (alpha), ...

    Text Solution

    |

  9. A 250cm^3 glass bottle is completely filled with water at 50^@C. The b...

    Text Solution

    |

  10. A cube of coefficient of linear expansion alpah is floating in a bath ...

    Text Solution

    |

  11. The loss of weight of a solid when immersed in a liquid at 0^(0)C is D...

    Text Solution

    |

  12. A solid whose volume does not change with temperature floats in a liqu...

    Text Solution

    |

  13. A peiece of metal weight 45g in air and 25g 30^(@)C. When the temperat...

    Text Solution

    |

  14. A Barometer with brass scale, which is correct at 0^(@)C, reads 75cm o...

    Text Solution

    |

  15. A given mass of ideal gas has volume V at pressure P and room temperat...

    Text Solution

    |

  16. The volume of an air bubble increases by x% as it raises from the bott...

    Text Solution

    |

  17. The density of an air bubble decrease by x% as it raises from the bott...

    Text Solution

    |

  18. An ideal gas is trapped between a mercury column and the closed-end of...

    Text Solution

    |

  19. A column of mercury of 10cm length is contained in the middle of a nar...

    Text Solution

    |

  20. A vertical cylinder of height 100cm contains air at a constant tempera...

    Text Solution

    |