Choose the correct statement. The change in volume of 0.2m3 of glycerine, γ=49×10−5∘C−1 if its temperature is increased by 30∘C is 2.94×10−3m3. When the liquid is heated, there is a considerable rise in its density.
A
Both statements are incorrect
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B
Only statement 2 is correct
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C
Both statements are correct
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D
Only statement 1 is correct
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Solution
The correct option is D Only statement 1 is correct Given: Initial volume of the glycerine, 0.2m3 Rise in temperature, ΔT=30∘C Coefficient of cubic expansion, γ=49×10−5∘C−1 We need to check if the value of change in volume of the glycerine, ΔV is 2.94×10−3m3. Using, γ=(ΔV)/(V0×ΔT)ΔV=γ×V0×ΔT=49×10−5×0.2×30=2.94×10−3m3 Therefore statement 1 is correct. When the liquid is heated, it expands. Its volume increases by an appreciable amount and there is considerable decrease in its density. Therefore statement 2 is incorrect.