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Define coefficient of linear expansion o...

Define coefficient of linear expansion of solids

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The ratio of increase in length to its original length per degree rise of temperature, is called the coefficient of linear expansion.
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A copper plate has an area of 250 cm^2 at 0^(@) C. Calculate the area of this plate at 60^(@)C .Given coefficient of linear expansion of copper= 1.7xx10^(-5)^(@) C

Knowledge Check

  • The volume of a metal sphere increases by 0 cdot 24% when its temperature is raised by 40^(@)C . The coefficient of linear expansion of the metal is… ""^(@)C^(-1) :

    A
    `2xx10^(-5)`
    B
    `18xx10^(-5)`
    C
    `6xx10^(-5)`
    D
    `1 cdot2 xx10^(-5)`

  • The time period of pendulum at temperature t_(1)^(@)C is T_(1) s. Its time period at t_(2)^(@)C is T_(2) s. If coefficient of linear expansion of material of pendulum is alpha , then increase in time period is :

    A
    `alpha(t_(2)-t_(1))`
    B
    `(alpha(t_(2)-t_(1)))/(2)`
    C
    `(alpha(t_(2)-t_(1)))/(3)`
    D
    None of these.

  • An aluminium sphere of 20 cm diameter is heated from ""^(@)C" to "100^(@)C . Its volume changes by (given that coefficient of linear expansion for aluminium alpha _(Al)= 23 xx 10^(6)//^(@)C) .

    A
    `2.89 cc`
    B
    `9.28 cc`
    C
    `49.8 cc`
    D
    `28.9 cc`

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