The liquid with co-efficient of real expansion of 27 x 10-6 ° C is heated in a
vessel with the co-efficient of linear expansion 9 x 10-61°C. The level of the
liquid with respect to ground will increase or decrease
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Let γr= real volume expansion coefficient of liquid
Let γa= apparent volume expansion coefficient of liquid
Let γg= real volume expansion coefficient of the vessel
γr=γa+γg
∴γa=γr−γg
But, γg=3αg=3∗9∗10−6/0C=27∗10−6/0C where αg is the linear expansion coefficient of the vessel.
γr=27∗10−6/0C as given
∴γa=0 since γr=γg
Hence, liquid level remains same.
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