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Question

An open vessel is filled completely with oil which has same coefficient of volume expansion as that of the vessel. On heating both oil and vessel,

A
the vessel can contain more volume and more mass of oil
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B
the vessel can contain same volume and same mass of oil
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C
the vessel can contain same volume and more mass of oil
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D
the vessel can contain more volume and same mass of oil
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Solution

The correct option is B the vessel can contain more volume and same mass of oil
Since the coefficient of expansion of both oil and vessel is same, as the temperature increases, volume of both oil and vessel increase same amount without any overflow of oil, hence more volume of oil is now being contained.
However the vessel is always completely filled, never empty by any fraction, hence the mass of oil containable remains the same.

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