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Q.

A body suspended from a spring balance is immersed in water. If the coefficient of cubical expanison of water is twice that of the suspended body, then on heating the liquid, which one of the following would occur ?

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a

The water flows out of the container

b

The reading on the spring balance remains the same

c

The reading on the spring balance increases

d

The reading on the spring balance decreases

answer is A.

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Detailed Solution

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Apparent weight=True weight minus upthrust

mg'=mg-Vbρlg

When the system is heated,

mg''=mg-Vb1+γbθρl1+γlθg=mg-Vbρlg1+γbθ1+2γbθ

Clearly, mg''>mg'. Apparent weight increases.

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