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Does the change in volume of a body when...

Does the change in volume of a body when its temperature is raised depend on whether the body has cavities inside, other things being equal?

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No, the change in the volume of a body is always the same whether there is any cavity or not. Suppose we cut off a portion and then place it back in the cavity. On heating the body, the two parts will expand and no gap is created, so the fact that a portion has been cut off does not affect expansion--the whole body expands, as if it had not been out. The distance between A and B remains the same, irrespective of whether matter is (i) continuous from A to B or (ii) discontinuous.
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Knowledge Check

  • The volume of a metal sphere increases by 0.24% when its temperature is raised by 40^(@)C . The coefficient of linear expansion of the metal is .......... .^(@)C

    A
    `2 xx 10^(5).^(@)C^(-1)`
    B
    `6 xx 10^(-5).^(@)C^(-1)`
    C
    `18 xx 10^(-5).^(@)C^(-1)`
    D
    `1.2 xx 10^(-5).^(@)C^(-1)`

  • Assertion : A change in the temperature of a body cause change in dimentions. Reason : The dimentions of a body decrease due to the increase in its temperature.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true and reason is not the correct explanation of assertion.
    C
    If assertion is true and reason is false.
    D
    If both assertion and reason are false.

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