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Q.

A weight thermometer contains 20 gm of mercury at 0°C and when its temperature is raised to 100°C. 315 gm of mercury is expelled. If the coefficient of linear expansion of glass is 0.0000066 per °C, the coefficient of absolute expansion of mercury is

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a

0.0001600/°C

b

0.0001650/°C

c

0.0001700/°C

d

0.0001798/°C

answer is D.

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Detailed Solution

γa=m0−mtmt(T−0) =0⋅315(20−0⋅315)×(100−0) =0⋅00016/∘CNow, γ=γa+γg=γa+3α=0⋅00016+3×(0⋅0000066)=0⋅0001798/∘C∴Coefficient of real expansion of mercury =0.0001798/°C.

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