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Q.

The remaining volume of a glass vessel is constant at all temperatures if 1/x of its volume is filled with mercury. The coefficient of volume expansion of mercury is 7 times that of glass. The value of x should be

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a

5

b

7

c

6

d

8

answer is B.

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Detailed Solution

Let temperature is increased by ΔT.Vg-VHg=V-Vx   at all temperatureV1+γg∆T-Vx1+γHg∆T=V-Vx ⇒ γg=γHgx     ⇒ γg=7γgx      ⇒x=7.
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