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The liquid with co-efficient of volume e...

The liquid with co-efficient of volume expansion `(gamma)` is filled in a container of a material having the co-efficient of linear expansion `alpha`. If the liquid overflows on heating then

A

`gamma=3alpha`

B

`gamma gt 3alpha`

C

`gamma lt 3alpha`

D

`gamma gt 3alpha^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Apparent coefficient of volume expansion,
`gamma^(.)=gamma-3alpha`
Now, `gamma^(.)` is positive when the liquid overflows on heating.
So the condition is `gamma-3alpha gt 0 " or, " gamma gt 3alpha`
The option (B) is correct.
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Knowledge Check

  • The coefficient of volume expansion of a liquid is

    A
    positive for all liquids
    B
    negative for all liquids
    C
    negative for water from `0^(@)C " to " 4^(@)C` but positive for other liquids
    D
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  • On heating a liquid of coefficient of volume expansion a in a container having a coefficient of linear expansion alpha/3 , the level of the liquid in the container will

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    rise
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    fall
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    remains almost stationary
    D
    can't be predicted from the given data

  • If a liquid having coefficient of volume expansion alpha , kept in a container having coefficient of linear expansion alpha/3 , is heated, then the level of the liquid will

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    rise
    B
    fall
    C
    remain the same
    D
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